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Finding the Third Proportional to 91,476 and 121,366.50

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Solution

The third proportional to 91,476 and 121,366.50 is: 161,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,476 : 121,366.50 = 121,366.50 : x
  2. Step 2: Convert to fraction form
    91,476/121,366.50 = 121,366.50/x
  3. Step 3: Cross multiply
    91,476x = 121,366.50 × 121,366.50
  4. Step 4: Simplify right side
    91,476x = 14,729,827,322.25
  5. Step 5: Solve for x
    x = 14,729,827,322.25/91,476
  6. Step 6: Final answer
    x = 161,023.96

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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.