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Finding the Third Proportional to 154,335,336,142 and 334,316,428,955.50

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Solution

The third proportional to 154,335,336,142 and 334,316,428,955.50 is: 724,185,902,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,335,336,142 : 334,316,428,955.50 = 334,316,428,955.50 : x
  2. Step 2: Convert to fraction form
    154,335,336,142/334,316,428,955.50 = 334,316,428,955.50/x
  3. Step 3: Cross multiply
    154,335,336,142x = 334,316,428,955.50 × 334,316,428,955.50
  4. Step 4: Simplify right side
    154,335,336,142x = 111,767,474,669,557,878,095,872
  5. Step 5: Solve for x
    x = 111,767,474,669,557,878,095,872/154,335,336,142
  6. Step 6: Final answer
    x = 724,185,902,356.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.