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Finding the Third Proportional to 7,617.38 and 10,377.28

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Solution

The third proportional to 7,617.38 and 10,377.28 is: 14,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.38 : 10,377.28 = 10,377.28 : x
  2. Step 2: Convert to fraction form
    7,617.38/10,377.28 = 10,377.28/x
  3. Step 3: Cross multiply
    7,617.38x = 10,377.28 × 10,377.28
  4. Step 4: Simplify right side
    7,617.38x = 107,687,966.14
  5. Step 5: Solve for x
    x = 107,687,966.14/7,617.38
  6. Step 6: Final answer
    x = 14,137.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.