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Finding the Third Proportional to 66,278.25 and 140,233.13

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Solution

The third proportional to 66,278.25 and 140,233.13 is: 296,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,278.25 : 140,233.13 = 140,233.13 : x
  2. Step 2: Convert to fraction form
    66,278.25/140,233.13 = 140,233.13/x
  3. Step 3: Cross multiply
    66,278.25x = 140,233.13 × 140,233.13
  4. Step 4: Simplify right side
    66,278.25x = 19,665,329,347.27
  5. Step 5: Solve for x
    x = 19,665,329,347.27/66,278.25
  6. Step 6: Final answer
    x = 296,708.64

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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.