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Finding the Third Proportional to 7,117.38 and 10,138.94

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Solution

The third proportional to 7,117.38 and 10,138.94 is: 14,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.38 : 10,138.94 = 10,138.94 : x
  2. Step 2: Convert to fraction form
    7,117.38/10,138.94 = 10,138.94/x
  3. Step 3: Cross multiply
    7,117.38x = 10,138.94 × 10,138.94
  4. Step 4: Simplify right side
    7,117.38x = 102,798,053.63
  5. Step 5: Solve for x
    x = 102,798,053.63/7,117.38
  6. Step 6: Final answer
    x = 14,443.25

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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.