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Finding the Third Proportional to 278,280 and 422,730

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Solution

The third proportional to 278,280 and 422,730 is: 642,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,280 : 422,730 = 422,730 : x
  2. Step 2: Convert to fraction form
    278,280/422,730 = 422,730/x
  3. Step 3: Cross multiply
    278,280x = 422,730 × 422,730
  4. Step 4: Simplify right side
    278,280x = 178,700,652,900
  5. Step 5: Solve for x
    x = 178,700,652,900/278,280
  6. Step 6: Final answer
    x = 642,161.32

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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.