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Finding the Third Proportional to 278,544 and 424,344

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Solution

The third proportional to 278,544 and 424,344 is: 646,460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,544 : 424,344 = 424,344 : x
  2. Step 2: Convert to fraction form
    278,544/424,344 = 424,344/x
  3. Step 3: Cross multiply
    278,544x = 424,344 × 424,344
  4. Step 4: Simplify right side
    278,544x = 180,067,830,336
  5. Step 5: Solve for x
    x = 180,067,830,336/278,544
  6. Step 6: Final answer
    x = 646,460.99

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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.