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Finding the Third Proportional to 91,431 and 121,353.75

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Solution

The third proportional to 91,431 and 121,353.75 is: 161,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,431 : 121,353.75 = 121,353.75 : x
  2. Step 2: Convert to fraction form
    91,431/121,353.75 = 121,353.75/x
  3. Step 3: Cross multiply
    91,431x = 121,353.75 × 121,353.75
  4. Step 4: Simplify right side
    91,431x = 14,726,732,639.06
  5. Step 5: Solve for x
    x = 14,726,732,639.06/91,431
  6. Step 6: Final answer
    x = 161,069.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.