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Finding the Third Proportional to 30,702,892 and 66,188,510

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Solution

The third proportional to 30,702,892 and 66,188,510 is: 142,687,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702,892 : 66,188,510 = 66,188,510 : x
  2. Step 2: Convert to fraction form
    30,702,892/66,188,510 = 66,188,510/x
  3. Step 3: Cross multiply
    30,702,892x = 66,188,510 × 66,188,510
  4. Step 4: Simplify right side
    30,702,892x = 4,380,918,856,020,100
  5. Step 5: Solve for x
    x = 4,380,918,856,020,100/30,702,892
  6. Step 6: Final answer
    x = 142,687,498.49

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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.