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Finding the Third Proportional to 207,408 and 439,116

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Solution

The third proportional to 207,408 and 439,116 is: 929,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,408 : 439,116 = 439,116 : x
  2. Step 2: Convert to fraction form
    207,408/439,116 = 439,116/x
  3. Step 3: Cross multiply
    207,408x = 439,116 × 439,116
  4. Step 4: Simplify right side
    207,408x = 192,822,861,456
  5. Step 5: Solve for x
    x = 192,822,861,456/207,408
  6. Step 6: Final answer
    x = 929,679.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.