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Finding the Third Proportional to 131,592 and 289,423

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Solution

The third proportional to 131,592 and 289,423 is: 636,555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,592 : 289,423 = 289,423 : x
  2. Step 2: Convert to fraction form
    131,592/289,423 = 289,423/x
  3. Step 3: Cross multiply
    131,592x = 289,423 × 289,423
  4. Step 4: Simplify right side
    131,592x = 83,765,672,929
  5. Step 5: Solve for x
    x = 83,765,672,929/131,592
  6. Step 6: Final answer
    x = 636,555.97

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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.