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Finding the Third Proportional to 278,524 and 424,314

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Solution

The third proportional to 278,524 and 424,314 is: 646,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,524 : 424,314 = 424,314 : x
  2. Step 2: Convert to fraction form
    278,524/424,314 = 424,314/x
  3. Step 3: Cross multiply
    278,524x = 424,314 × 424,314
  4. Step 4: Simplify right side
    278,524x = 180,042,370,596
  5. Step 5: Solve for x
    x = 180,042,370,596/278,524
  6. Step 6: Final answer
    x = 646,416.00

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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.