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Finding the Third Proportional to 142,781.25 and 214,199.25

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Solution

The third proportional to 142,781.25 and 214,199.25 is: 321,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,781.25 : 214,199.25 = 214,199.25 : x
  2. Step 2: Convert to fraction form
    142,781.25/214,199.25 = 214,199.25/x
  3. Step 3: Cross multiply
    142,781.25x = 214,199.25 × 214,199.25
  4. Step 4: Simplify right side
    142,781.25x = 45,881,318,700.56
  5. Step 5: Solve for x
    x = 45,881,318,700.56/142,781.25
  6. Step 6: Final answer
    x = 321,339.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.