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Finding the Third Proportional to 91,932 and 144,454.50

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Solution

The third proportional to 91,932 and 144,454.50 is: 226,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,932 : 144,454.50 = 144,454.50 : x
  2. Step 2: Convert to fraction form
    91,932/144,454.50 = 144,454.50/x
  3. Step 3: Cross multiply
    91,932x = 144,454.50 × 144,454.50
  4. Step 4: Simplify right side
    91,932x = 20,867,102,570.25
  5. Step 5: Solve for x
    x = 20,867,102,570.25/91,932
  6. Step 6: Final answer
    x = 226,984.10

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.