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Finding the Third Proportional to 187,726 and 402,790

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Solution

The third proportional to 187,726 and 402,790 is: 864,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,726 : 402,790 = 402,790 : x
  2. Step 2: Convert to fraction form
    187,726/402,790 = 402,790/x
  3. Step 3: Cross multiply
    187,726x = 402,790 × 402,790
  4. Step 4: Simplify right side
    187,726x = 162,239,784,100
  5. Step 5: Solve for x
    x = 162,239,784,100/187,726
  6. Step 6: Final answer
    x = 864,237.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.