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Finding the Third Proportional to 142,279.88 and 214,358.06

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Solution

The third proportional to 142,279.88 and 214,358.06 is: 322,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,279.88 : 214,358.06 = 214,358.06 : x
  2. Step 2: Convert to fraction form
    142,279.88/214,358.06 = 214,358.06/x
  3. Step 3: Cross multiply
    142,279.88x = 214,358.06 × 214,358.06
  4. Step 4: Simplify right side
    142,279.88x = 45,949,378,958.75
  5. Step 5: Solve for x
    x = 45,949,378,958.75/142,279.88
  6. Step 6: Final answer
    x = 322,950.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.