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Finding the Third Proportional to 31,195,540 and 67,323,511

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Solution

The third proportional to 31,195,540 and 67,323,511 is: 145,291,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195,540 : 67,323,511 = 67,323,511 : x
  2. Step 2: Convert to fraction form
    31,195,540/67,323,511 = 67,323,511/x
  3. Step 3: Cross multiply
    31,195,540x = 67,323,511 × 67,323,511
  4. Step 4: Simplify right side
    31,195,540x = 4,532,455,133,367,121
  5. Step 5: Solve for x
    x = 4,532,455,133,367,121/31,195,540
  6. Step 6: Final answer
    x = 145,291,767.14

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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.