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Finding the Third Proportional to 280,624 and 427,940

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Solution

The third proportional to 280,624 and 427,940 is: 652,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,624 : 427,940 = 427,940 : x
  2. Step 2: Convert to fraction form
    280,624/427,940 = 427,940/x
  3. Step 3: Cross multiply
    280,624x = 427,940 × 427,940
  4. Step 4: Simplify right side
    280,624x = 183,132,643,600
  5. Step 5: Solve for x
    x = 183,132,643,600/280,624
  6. Step 6: Final answer
    x = 652,590.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.