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Finding the Third Proportional to 118,439 and 254,446

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Solution

The third proportional to 118,439 and 254,446 is: 546,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,439 : 254,446 = 254,446 : x
  2. Step 2: Convert to fraction form
    118,439/254,446 = 254,446/x
  3. Step 3: Cross multiply
    118,439x = 254,446 × 254,446
  4. Step 4: Simplify right side
    118,439x = 64,742,766,916
  5. Step 5: Solve for x
    x = 64,742,766,916/118,439
  6. Step 6: Final answer
    x = 546,633.85

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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.