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Finding the Third Proportional to 71,971,240 and 156,721,040

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Solution

The third proportional to 71,971,240 and 156,721,040 is: 341,268,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,971,240 : 156,721,040 = 156,721,040 : x
  2. Step 2: Convert to fraction form
    71,971,240/156,721,040 = 156,721,040/x
  3. Step 3: Cross multiply
    71,971,240x = 156,721,040 × 156,721,040
  4. Step 4: Simplify right side
    71,971,240x = 24,561,484,378,681,600
  5. Step 5: Solve for x
    x = 24,561,484,378,681,600/71,971,240
  6. Step 6: Final answer
    x = 341,268,045.11

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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.