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Finding the Third Proportional to 6,457.50 and 13,691.81

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Solution

The third proportional to 6,457.50 and 13,691.81 is: 29,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.50 : 13,691.81 = 13,691.81 : x
  2. Step 2: Convert to fraction form
    6,457.50/13,691.81 = 13,691.81/x
  3. Step 3: Cross multiply
    6,457.50x = 13,691.81 × 13,691.81
  4. Step 4: Simplify right side
    6,457.50x = 187,465,729.54
  5. Step 5: Solve for x
    x = 187,465,729.54/6,457.50
  6. Step 6: Final answer
    x = 29,030.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.