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Finding the Third Proportional to 31,386,510 and 66,506,775

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Solution

The third proportional to 31,386,510 and 66,506,775 is: 140,925,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386,510 : 66,506,775 = 66,506,775 : x
  2. Step 2: Convert to fraction form
    31,386,510/66,506,775 = 66,506,775/x
  3. Step 3: Cross multiply
    31,386,510x = 66,506,775 × 66,506,775
  4. Step 4: Simplify right side
    31,386,510x = 4,423,151,120,900,625
  5. Step 5: Solve for x
    x = 4,423,151,120,900,625/31,386,510
  6. Step 6: Final answer
    x = 140,925,229.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.