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Finding the Third Proportional to 938.63 and 1,377.38

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Solution

The third proportional to 938.63 and 1,377.38 is: 2,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.63 : 1,377.38 = 1,377.38 : x
  2. Step 2: Convert to fraction form
    938.63/1,377.38 = 1,377.38/x
  3. Step 3: Cross multiply
    938.63x = 1,377.38 × 1,377.38
  4. Step 4: Simplify right side
    938.63x = 1,897,161.89
  5. Step 5: Solve for x
    x = 1,897,161.89/938.63
  6. Step 6: Final answer
    x = 2,021.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.