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Finding the Third Proportional to 154,335,336,121 and 334,316,428,917

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Solution

The third proportional to 154,335,336,121 and 334,316,428,917 is: 724,185,902,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,335,336,121 : 334,316,428,917 = 334,316,428,917 : x
  2. Step 2: Convert to fraction form
    154,335,336,121/334,316,428,917 = 334,316,428,917/x
  3. Step 3: Cross multiply
    154,335,336,121x = 334,316,428,917 × 334,316,428,917
  4. Step 4: Simplify right side
    154,335,336,121x = 111,767,474,643,815,521,845,248
  5. Step 5: Solve for x
    x = 111,767,474,643,815,521,845,248/154,335,336,121
  6. Step 6: Final answer
    x = 724,185,902,288.70

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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.