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Finding the Third Proportional to 91,494 and 146,110.50

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Solution

The third proportional to 91,494 and 146,110.50 is: 233,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,494 : 146,110.50 = 146,110.50 : x
  2. Step 2: Convert to fraction form
    91,494/146,110.50 = 146,110.50/x
  3. Step 3: Cross multiply
    91,494x = 146,110.50 × 146,110.50
  4. Step 4: Simplify right side
    91,494x = 21,348,278,210.25
  5. Step 5: Solve for x
    x = 21,348,278,210.25/91,494
  6. Step 6: Final answer
    x = 233,329.82

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.