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Finding the Third Proportional to 142,109.44 and 312,820.73

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Solution

The third proportional to 142,109.44 and 312,820.73 is: 688,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,109.44 : 312,820.73 = 312,820.73 : x
  2. Step 2: Convert to fraction form
    142,109.44/312,820.73 = 312,820.73/x
  3. Step 3: Cross multiply
    142,109.44x = 312,820.73 × 312,820.73
  4. Step 4: Simplify right side
    142,109.44x = 97,856,811,854.91
  5. Step 5: Solve for x
    x = 97,856,811,854.91/142,109.44
  6. Step 6: Final answer
    x = 688,601.78

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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.