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Finding the Third Proportional to 278,424 and 424,164

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Solution

The third proportional to 278,424 and 424,164 is: 646,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,424 : 424,164 = 424,164 : x
  2. Step 2: Convert to fraction form
    278,424/424,164 = 424,164/x
  3. Step 3: Cross multiply
    278,424x = 424,164 × 424,164
  4. Step 4: Simplify right side
    278,424x = 179,915,098,896
  5. Step 5: Solve for x
    x = 179,915,098,896/278,424
  6. Step 6: Final answer
    x = 646,191.06

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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.