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Finding the Third Proportional to 278,522 and 424,311

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Solution

The third proportional to 278,522 and 424,311 is: 646,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,522 : 424,311 = 424,311 : x
  2. Step 2: Convert to fraction form
    278,522/424,311 = 424,311/x
  3. Step 3: Cross multiply
    278,522x = 424,311 × 424,311
  4. Step 4: Simplify right side
    278,522x = 180,039,824,721
  5. Step 5: Solve for x
    x = 180,039,824,721/278,522
  6. Step 6: Final answer
    x = 646,411.50

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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.