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Finding the Third Proportional to 65,723.06 and 142,517.81

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Solution

The third proportional to 65,723.06 and 142,517.81 is: 309,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,723.06 : 142,517.81 = 142,517.81 : x
  2. Step 2: Convert to fraction form
    65,723.06/142,517.81 = 142,517.81/x
  3. Step 3: Cross multiply
    65,723.06x = 142,517.81 × 142,517.81
  4. Step 4: Simplify right side
    65,723.06x = 20,311,326,879.79
  5. Step 5: Solve for x
    x = 20,311,326,879.79/65,723.06
  6. Step 6: Final answer
    x = 309,044.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.