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Finding the Third Proportional to 7,462.50 and 15,693

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Solution

The third proportional to 7,462.50 and 15,693 is: 33,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.50 : 15,693 = 15,693 : x
  2. Step 2: Convert to fraction form
    7,462.50/15,693 = 15,693/x
  3. Step 3: Cross multiply
    7,462.50x = 15,693 × 15,693
  4. Step 4: Simplify right side
    7,462.50x = 246,270,249
  5. Step 5: Solve for x
    x = 246,270,249/7,462.50
  6. Step 6: Final answer
    x = 33,001.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.