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Finding the Third Proportional to 31,208,851.13 and 67,365,513

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Solution

The third proportional to 31,208,851.13 and 67,365,513 is: 145,411,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208,851.13 : 67,365,513 = 67,365,513 : x
  2. Step 2: Convert to fraction form
    31,208,851.13/67,365,513 = 67,365,513/x
  3. Step 3: Cross multiply
    31,208,851.13x = 67,365,513 × 67,365,513
  4. Step 4: Simplify right side
    31,208,851.13x = 4,538,112,341,753,169
  5. Step 5: Solve for x
    x = 4,538,112,341,753,169/31,208,851.13
  6. Step 6: Final answer
    x = 145,411,066.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.