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Finding the Third Proportional to 91,368 and 124,474.50

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Solution

The third proportional to 91,368 and 124,474.50 is: 169,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,368 : 124,474.50 = 124,474.50 : x
  2. Step 2: Convert to fraction form
    91,368/124,474.50 = 124,474.50/x
  3. Step 3: Cross multiply
    91,368x = 124,474.50 × 124,474.50
  4. Step 4: Simplify right side
    91,368x = 15,493,901,150.25
  5. Step 5: Solve for x
    x = 15,493,901,150.25/91,368
  6. Step 6: Final answer
    x = 169,576.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.