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Finding the Third Proportional to 131,572 and 289,388

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Solution

The third proportional to 131,572 and 289,388 is: 636,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,572 : 289,388 = 289,388 : x
  2. Step 2: Convert to fraction form
    131,572/289,388 = 289,388/x
  3. Step 3: Cross multiply
    131,572x = 289,388 × 289,388
  4. Step 4: Simplify right side
    131,572x = 83,745,414,544
  5. Step 5: Solve for x
    x = 83,745,414,544/131,572
  6. Step 6: Final answer
    x = 636,498.76

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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.