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Finding the Third Proportional to 121,085,961 and 258,316,359

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Solution

The third proportional to 121,085,961 and 258,316,359 is: 551,074,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,085,961 : 258,316,359 = 258,316,359 : x
  2. Step 2: Convert to fraction form
    121,085,961/258,316,359 = 258,316,359/x
  3. Step 3: Cross multiply
    121,085,961x = 258,316,359 × 258,316,359
  4. Step 4: Simplify right side
    121,085,961x = 66,727,341,327,016,880
  5. Step 5: Solve for x
    x = 66,727,341,327,016,880/121,085,961
  6. Step 6: Final answer
    x = 551,074,135.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.