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Finding the Third Proportional to 120,580.50 and 254,691

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Solution

The third proportional to 120,580.50 and 254,691 is: 537,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,580.50 : 254,691 = 254,691 : x
  2. Step 2: Convert to fraction form
    120,580.50/254,691 = 254,691/x
  3. Step 3: Cross multiply
    120,580.50x = 254,691 × 254,691
  4. Step 4: Simplify right side
    120,580.50x = 64,867,505,481
  5. Step 5: Solve for x
    x = 64,867,505,481/120,580.50
  6. Step 6: Final answer
    x = 537,960.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.