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Finding the Third Proportional to 31,473,140 and 67,729,254

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Solution

The third proportional to 31,473,140 and 67,729,254 is: 145,751,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473,140 : 67,729,254 = 67,729,254 : x
  2. Step 2: Convert to fraction form
    31,473,140/67,729,254 = 67,729,254/x
  3. Step 3: Cross multiply
    31,473,140x = 67,729,254 × 67,729,254
  4. Step 4: Simplify right side
    31,473,140x = 4,587,251,847,396,516
  5. Step 5: Solve for x
    x = 4,587,251,847,396,516/31,473,140
  6. Step 6: Final answer
    x = 145,751,324.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.