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Finding the Third Proportional to 278,742 and 424,665

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Solution

The third proportional to 278,742 and 424,665 is: 646,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,742 : 424,665 = 424,665 : x
  2. Step 2: Convert to fraction form
    278,742/424,665 = 424,665/x
  3. Step 3: Cross multiply
    278,742x = 424,665 × 424,665
  4. Step 4: Simplify right side
    278,742x = 180,340,362,225
  5. Step 5: Solve for x
    x = 180,340,362,225/278,742
  6. Step 6: Final answer
    x = 646,979.51

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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.