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Finding the Third Proportional to 187,720 and 402,149

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Solution

The third proportional to 187,720 and 402,149 is: 861,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,720 : 402,149 = 402,149 : x
  2. Step 2: Convert to fraction form
    187,720/402,149 = 402,149/x
  3. Step 3: Cross multiply
    187,720x = 402,149 × 402,149
  4. Step 4: Simplify right side
    187,720x = 161,723,818,201
  5. Step 5: Solve for x
    x = 161,723,818,201/187,720
  6. Step 6: Final answer
    x = 861,516.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.