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Finding the Third Proportional to 254,294.28 and 345,353.78

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Solution

The third proportional to 254,294.28 and 345,353.78 is: 469,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,294.28 : 345,353.78 = 345,353.78 : x
  2. Step 2: Convert to fraction form
    254,294.28/345,353.78 = 345,353.78/x
  3. Step 3: Cross multiply
    254,294.28x = 345,353.78 × 345,353.78
  4. Step 4: Simplify right side
    254,294.28x = 119,269,235,572.72
  5. Step 5: Solve for x
    x = 119,269,235,572.72/254,294.28
  6. Step 6: Final answer
    x = 469,020.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.