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Finding the Third Proportional to 154,335,336,119 and 334,316,428,913

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Solution

The third proportional to 154,335,336,119 and 334,316,428,913 is: 724,185,902,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,335,336,119 : 334,316,428,913 = 334,316,428,913 : x
  2. Step 2: Convert to fraction form
    154,335,336,119/334,316,428,913 = 334,316,428,913/x
  3. Step 3: Cross multiply
    154,335,336,119x = 334,316,428,913 × 334,316,428,913
  4. Step 4: Simplify right side
    154,335,336,119x = 111,767,474,641,140,981,956,608
  5. Step 5: Solve for x
    x = 111,767,474,641,140,981,956,608/154,335,336,119
  6. Step 6: Final answer
    x = 724,185,902,280.75

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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.