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Finding the Third Proportional to 61,068 and 95,719.50

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Solution

The third proportional to 61,068 and 95,719.50 is: 150,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,068 : 95,719.50 = 95,719.50 : x
  2. Step 2: Convert to fraction form
    61,068/95,719.50 = 95,719.50/x
  3. Step 3: Cross multiply
    61,068x = 95,719.50 × 95,719.50
  4. Step 4: Simplify right side
    61,068x = 9,162,222,680.25
  5. Step 5: Solve for x
    x = 9,162,222,680.25/61,068
  6. Step 6: Final answer
    x = 150,033.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.