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Finding the Third Proportional to 185,940 and 402,790

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Solution

The third proportional to 185,940 and 402,790 is: 872,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,940 : 402,790 = 402,790 : x
  2. Step 2: Convert to fraction form
    185,940/402,790 = 402,790/x
  3. Step 3: Cross multiply
    185,940x = 402,790 × 402,790
  4. Step 4: Simplify right side
    185,940x = 162,239,784,100
  5. Step 5: Solve for x
    x = 162,239,784,100/185,940
  6. Step 6: Final answer
    x = 872,538.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.