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Finding the Third Proportional to 142,723.13 and 313,693.88

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Solution

The third proportional to 142,723.13 and 313,693.88 is: 689,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,723.13 : 313,693.88 = 313,693.88 : x
  2. Step 2: Convert to fraction form
    142,723.13/313,693.88 = 313,693.88/x
  3. Step 3: Cross multiply
    142,723.13x = 313,693.88 × 313,693.88
  4. Step 4: Simplify right side
    142,723.13x = 98,403,847,212.52
  5. Step 5: Solve for x
    x = 98,403,847,212.52/142,723.13
  6. Step 6: Final answer
    x = 689,473.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.