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Finding the Third Proportional to 638.65 and 903.76

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Solution

The third proportional to 638.65 and 903.76 is: 1,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.65 : 903.76 = 903.76 : x
  2. Step 2: Convert to fraction form
    638.65/903.76 = 903.76/x
  3. Step 3: Cross multiply
    638.65x = 903.76 × 903.76
  4. Step 4: Simplify right side
    638.65x = 816,785.24
  5. Step 5: Solve for x
    x = 816,785.24/638.65
  6. Step 6: Final answer
    x = 1,278.93

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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.