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Finding the Third Proportional to 75,580.75 and 109,257.50

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Solution

The third proportional to 75,580.75 and 109,257.50 is: 157,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,580.75 : 109,257.50 = 109,257.50 : x
  2. Step 2: Convert to fraction form
    75,580.75/109,257.50 = 109,257.50/x
  3. Step 3: Cross multiply
    75,580.75x = 109,257.50 × 109,257.50
  4. Step 4: Simplify right side
    75,580.75x = 11,937,201,306.25
  5. Step 5: Solve for x
    x = 11,937,201,306.25/75,580.75
  6. Step 6: Final answer
    x = 157,939.70

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.