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Finding the Third Proportional to 631.55 and 1,377.84

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Solution

The third proportional to 631.55 and 1,377.84 is: 3,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.55 : 1,377.84 = 1,377.84 : x
  2. Step 2: Convert to fraction form
    631.55/1,377.84 = 1,377.84/x
  3. Step 3: Cross multiply
    631.55x = 1,377.84 × 1,377.84
  4. Step 4: Simplify right side
    631.55x = 1,898,453.40
  5. Step 5: Solve for x
    x = 1,898,453.40/631.55
  6. Step 6: Final answer
    x = 3,006.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.