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Finding the Third Proportional to 491,481 and 741,737.25

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Solution

The third proportional to 491,481 and 741,737.25 is: 1,119,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,481 : 741,737.25 = 741,737.25 : x
  2. Step 2: Convert to fraction form
    491,481/741,737.25 = 741,737.25/x
  3. Step 3: Cross multiply
    491,481x = 741,737.25 × 741,737.25
  4. Step 4: Simplify right side
    491,481x = 550,174,148,037.56
  5. Step 5: Solve for x
    x = 550,174,148,037.56/491,481
  6. Step 6: Final answer
    x = 1,119,420.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.