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Finding the Third Proportional to 109,446 and 239,649

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Solution

The third proportional to 109,446 and 239,649 is: 524,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,446 : 239,649 = 239,649 : x
  2. Step 2: Convert to fraction form
    109,446/239,649 = 239,649/x
  3. Step 3: Cross multiply
    109,446x = 239,649 × 239,649
  4. Step 4: Simplify right side
    109,446x = 57,431,643,201
  5. Step 5: Solve for x
    x = 57,431,643,201/109,446
  6. Step 6: Final answer
    x = 524,748.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.