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Finding the Third Proportional to 61,188.75 and 129,718.13

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Solution

The third proportional to 61,188.75 and 129,718.13 is: 274,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,188.75 : 129,718.13 = 129,718.13 : x
  2. Step 2: Convert to fraction form
    61,188.75/129,718.13 = 129,718.13/x
  3. Step 3: Cross multiply
    61,188.75x = 129,718.13 × 129,718.13
  4. Step 4: Simplify right side
    61,188.75x = 16,826,791,953.52
  5. Step 5: Solve for x
    x = 16,826,791,953.52/61,188.75
  6. Step 6: Final answer
    x = 274,998.13

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.