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Finding the Third Proportional to 72,372 and 114,872

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Solution

The third proportional to 72,372 and 114,872 is: 182,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,372 : 114,872 = 114,872 : x
  2. Step 2: Convert to fraction form
    72,372/114,872 = 114,872/x
  3. Step 3: Cross multiply
    72,372x = 114,872 × 114,872
  4. Step 4: Simplify right side
    72,372x = 13,195,576,384
  5. Step 5: Solve for x
    x = 13,195,576,384/72,372
  6. Step 6: Final answer
    x = 182,329.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.