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Finding the Third Proportional to 185,937 and 402,780

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Solution

The third proportional to 185,937 and 402,780 is: 872,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,937 : 402,780 = 402,780 : x
  2. Step 2: Convert to fraction form
    185,937/402,780 = 402,780/x
  3. Step 3: Cross multiply
    185,937x = 402,780 × 402,780
  4. Step 4: Simplify right side
    185,937x = 162,231,728,400
  5. Step 5: Solve for x
    x = 162,231,728,400/185,937
  6. Step 6: Final answer
    x = 872,509.12

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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.