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Finding the Third Proportional to 186,838 and 280,448

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Solution

The third proportional to 186,838 and 280,448 is: 420,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,838 : 280,448 = 280,448 : x
  2. Step 2: Convert to fraction form
    186,838/280,448 = 280,448/x
  3. Step 3: Cross multiply
    186,838x = 280,448 × 280,448
  4. Step 4: Simplify right side
    186,838x = 78,651,080,704
  5. Step 5: Solve for x
    x = 78,651,080,704/186,838
  6. Step 6: Final answer
    x = 420,958.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.