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Finding the Third Proportional to 91,432 and 138,914

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Solution

The third proportional to 91,432 and 138,914 is: 211,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,432 : 138,914 = 138,914 : x
  2. Step 2: Convert to fraction form
    91,432/138,914 = 138,914/x
  3. Step 3: Cross multiply
    91,432x = 138,914 × 138,914
  4. Step 4: Simplify right side
    91,432x = 19,297,099,396
  5. Step 5: Solve for x
    x = 19,297,099,396/91,432
  6. Step 6: Final answer
    x = 211,054.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.