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Finding the Third Proportional to 142,327.13 and 220,294.69

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Solution

The third proportional to 142,327.13 and 220,294.69 is: 340,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,327.13 : 220,294.69 = 220,294.69 : x
  2. Step 2: Convert to fraction form
    142,327.13/220,294.69 = 220,294.69/x
  3. Step 3: Cross multiply
    142,327.13x = 220,294.69 × 220,294.69
  4. Step 4: Simplify right side
    142,327.13x = 48,529,749,340.72
  5. Step 5: Solve for x
    x = 48,529,749,340.72/142,327.13
  6. Step 6: Final answer
    x = 340,973.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.