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Finding the Third Proportional to 91,272 and 196,036.50

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Solution

The third proportional to 91,272 and 196,036.50 is: 421,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,272 : 196,036.50 = 196,036.50 : x
  2. Step 2: Convert to fraction form
    91,272/196,036.50 = 196,036.50/x
  3. Step 3: Cross multiply
    91,272x = 196,036.50 × 196,036.50
  4. Step 4: Simplify right side
    91,272x = 38,430,309,332.25
  5. Step 5: Solve for x
    x = 38,430,309,332.25/91,272
  6. Step 6: Final answer
    x = 421,052.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.