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Finding the Third Proportional to 187,065 and 413,505

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Solution

The third proportional to 187,065 and 413,505 is: 914,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,065 : 413,505 = 413,505 : x
  2. Step 2: Convert to fraction form
    187,065/413,505 = 413,505/x
  3. Step 3: Cross multiply
    187,065x = 413,505 × 413,505
  4. Step 4: Simplify right side
    187,065x = 170,986,385,025
  5. Step 5: Solve for x
    x = 170,986,385,025/187,065
  6. Step 6: Final answer
    x = 914,047.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.