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Finding the Third Proportional to 131,594 and 289,424

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Solution

The third proportional to 131,594 and 289,424 is: 636,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,594 : 289,424 = 289,424 : x
  2. Step 2: Convert to fraction form
    131,594/289,424 = 289,424/x
  3. Step 3: Cross multiply
    131,594x = 289,424 × 289,424
  4. Step 4: Simplify right side
    131,594x = 83,766,251,776
  5. Step 5: Solve for x
    x = 83,766,251,776/131,594
  6. Step 6: Final answer
    x = 636,550.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.