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Finding the Third Proportional to 7,460 and 10,687

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Solution

The third proportional to 7,460 and 10,687 is: 15,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460 : 10,687 = 10,687 : x
  2. Step 2: Convert to fraction form
    7,460/10,687 = 10,687/x
  3. Step 3: Cross multiply
    7,460x = 10,687 × 10,687
  4. Step 4: Simplify right side
    7,460x = 114,211,969
  5. Step 5: Solve for x
    x = 114,211,969/7,460
  6. Step 6: Final answer
    x = 15,309.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.