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Finding the Third Proportional to 187,650 and 399,700

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Solution

The third proportional to 187,650 and 399,700 is: 851,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,650 : 399,700 = 399,700 : x
  2. Step 2: Convert to fraction form
    187,650/399,700 = 399,700/x
  3. Step 3: Cross multiply
    187,650x = 399,700 × 399,700
  4. Step 4: Simplify right side
    187,650x = 159,760,090,000
  5. Step 5: Solve for x
    x = 159,760,090,000/187,650
  6. Step 6: Final answer
    x = 851,372.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.