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Finding the Third Proportional to 280,712.25 and 431,479.13

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Solution

The third proportional to 280,712.25 and 431,479.13 is: 663,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,712.25 : 431,479.13 = 431,479.13 : x
  2. Step 2: Convert to fraction form
    280,712.25/431,479.13 = 431,479.13/x
  3. Step 3: Cross multiply
    280,712.25x = 431,479.13 × 431,479.13
  4. Step 4: Simplify right side
    280,712.25x = 186,174,235,310.77
  5. Step 5: Solve for x
    x = 186,174,235,310.77/280,712.25
  6. Step 6: Final answer
    x = 663,220.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.