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Finding the Third Proportional to 278,554 and 424,359

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Solution

The third proportional to 278,554 and 424,359 is: 646,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,554 : 424,359 = 424,359 : x
  2. Step 2: Convert to fraction form
    278,554/424,359 = 424,359/x
  3. Step 3: Cross multiply
    278,554x = 424,359 × 424,359
  4. Step 4: Simplify right side
    278,554x = 180,080,560,881
  5. Step 5: Solve for x
    x = 180,080,560,881/278,554
  6. Step 6: Final answer
    x = 646,483.49

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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.