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Finding the Third Proportional to 634.92 and 1,472.55

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Solution

The third proportional to 634.92 and 1,472.55 is: 3,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.92 : 1,472.55 = 1,472.55 : x
  2. Step 2: Convert to fraction form
    634.92/1,472.55 = 1,472.55/x
  3. Step 3: Cross multiply
    634.92x = 1,472.55 × 1,472.55
  4. Step 4: Simplify right side
    634.92x = 2,168,417.31
  5. Step 5: Solve for x
    x = 2,168,417.31/634.92
  6. Step 6: Final answer
    x = 3,415.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.