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Finding the Third Proportional to 637.24 and 902.07

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Solution

The third proportional to 637.24 and 902.07 is: 1,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.24 : 902.07 = 902.07 : x
  2. Step 2: Convert to fraction form
    637.24/902.07 = 902.07/x
  3. Step 3: Cross multiply
    637.24x = 902.07 × 902.07
  4. Step 4: Simplify right side
    637.24x = 813,737.90
  5. Step 5: Solve for x
    x = 813,737.90/637.24
  6. Step 6: Final answer
    x = 1,276.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.