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Finding the Third Proportional to 142,634.25 and 220,101.75

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Solution

The third proportional to 142,634.25 and 220,101.75 is: 339,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,634.25 : 220,101.75 = 220,101.75 : x
  2. Step 2: Convert to fraction form
    142,634.25/220,101.75 = 220,101.75/x
  3. Step 3: Cross multiply
    142,634.25x = 220,101.75 × 220,101.75
  4. Step 4: Simplify right side
    142,634.25x = 48,444,780,353.06
  5. Step 5: Solve for x
    x = 48,444,780,353.06/142,634.25
  6. Step 6: Final answer
    x = 339,643.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.