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Finding the Third Proportional to 120,830 and 261,098

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Solution

The third proportional to 120,830 and 261,098 is: 564,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830 : 261,098 = 261,098 : x
  2. Step 2: Convert to fraction form
    120,830/261,098 = 261,098/x
  3. Step 3: Cross multiply
    120,830x = 261,098 × 261,098
  4. Step 4: Simplify right side
    120,830x = 68,172,165,604
  5. Step 5: Solve for x
    x = 68,172,165,604/120,830
  6. Step 6: Final answer
    x = 564,199.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.