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Finding the Third Proportional to 142,930 and 322,279

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Solution

The third proportional to 142,930 and 322,279 is: 726,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,930 : 322,279 = 322,279 : x
  2. Step 2: Convert to fraction form
    142,930/322,279 = 322,279/x
  3. Step 3: Cross multiply
    142,930x = 322,279 × 322,279
  4. Step 4: Simplify right side
    142,930x = 103,863,753,841
  5. Step 5: Solve for x
    x = 103,863,753,841/142,930
  6. Step 6: Final answer
    x = 726,675.67

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.