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Finding the Third Proportional to 1,387.47 and 2,972.38

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Solution

The third proportional to 1,387.47 and 2,972.38 is: 6,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.47 : 2,972.38 = 2,972.38 : x
  2. Step 2: Convert to fraction form
    1,387.47/2,972.38 = 2,972.38/x
  3. Step 3: Cross multiply
    1,387.47x = 2,972.38 × 2,972.38
  4. Step 4: Simplify right side
    1,387.47x = 8,835,013.14
  5. Step 5: Solve for x
    x = 8,835,013.14/1,387.47
  6. Step 6: Final answer
    x = 6,367.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.