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Finding the Third Proportional to 261,366 and 391,005

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Solution

The third proportional to 261,366 and 391,005 is: 584,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,366 : 391,005 = 391,005 : x
  2. Step 2: Convert to fraction form
    261,366/391,005 = 391,005/x
  3. Step 3: Cross multiply
    261,366x = 391,005 × 391,005
  4. Step 4: Simplify right side
    261,366x = 152,884,910,025
  5. Step 5: Solve for x
    x = 152,884,910,025/261,366
  6. Step 6: Final answer
    x = 584,945.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.