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Finding the Third Proportional to 103,446 and 134,718.75

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Solution

The third proportional to 103,446 and 134,718.75 is: 175,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,446 : 134,718.75 = 134,718.75 : x
  2. Step 2: Convert to fraction form
    103,446/134,718.75 = 134,718.75/x
  3. Step 3: Cross multiply
    103,446x = 134,718.75 × 134,718.75
  4. Step 4: Simplify right side
    103,446x = 18,149,141,601.56
  5. Step 5: Solve for x
    x = 18,149,141,601.56/103,446
  6. Step 6: Final answer
    x = 175,445.56

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.