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Finding the Third Proportional to 31,513,454 and 68,548,352

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Solution

The third proportional to 31,513,454 and 68,548,352 is: 149,106,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,513,454 : 68,548,352 = 68,548,352 : x
  2. Step 2: Convert to fraction form
    31,513,454/68,548,352 = 68,548,352/x
  3. Step 3: Cross multiply
    31,513,454x = 68,548,352 × 68,548,352
  4. Step 4: Simplify right side
    31,513,454x = 4,698,876,561,915,904
  5. Step 5: Solve for x
    x = 4,698,876,561,915,904/31,513,454
  6. Step 6: Final answer
    x = 149,106,999.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.