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Finding the Third Proportional to 280,793.25 and 424,774.13

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Solution

The third proportional to 280,793.25 and 424,774.13 is: 642,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,793.25 : 424,774.13 = 424,774.13 : x
  2. Step 2: Convert to fraction form
    280,793.25/424,774.13 = 424,774.13/x
  3. Step 3: Cross multiply
    280,793.25x = 424,774.13 × 424,774.13
  4. Step 4: Simplify right side
    280,793.25x = 180,433,057,269.52
  5. Step 5: Solve for x
    x = 180,433,057,269.52/280,793.25
  6. Step 6: Final answer
    x = 642,583.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.