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Finding the Third Proportional to 278,400 and 424,128

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Solution

The third proportional to 278,400 and 424,128 is: 646,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,400 : 424,128 = 424,128 : x
  2. Step 2: Convert to fraction form
    278,400/424,128 = 424,128/x
  3. Step 3: Cross multiply
    278,400x = 424,128 × 424,128
  4. Step 4: Simplify right side
    278,400x = 179,884,560,384
  5. Step 5: Solve for x
    x = 179,884,560,384/278,400
  6. Step 6: Final answer
    x = 646,137.07

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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.