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Finding the Third Proportional to 143,078.91 and 310,761.56

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Solution

The third proportional to 143,078.91 and 310,761.56 is: 674,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,078.91 : 310,761.56 = 310,761.56 : x
  2. Step 2: Convert to fraction form
    143,078.91/310,761.56 = 310,761.56/x
  3. Step 3: Cross multiply
    143,078.91x = 310,761.56 × 310,761.56
  4. Step 4: Simplify right side
    143,078.91x = 96,572,748,727.44
  5. Step 5: Solve for x
    x = 96,572,748,727.44/143,078.91
  6. Step 6: Final answer
    x = 674,961.47

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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.