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Finding the Third Proportional to 142,074 and 308,286

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Solution

The third proportional to 142,074 and 308,286 is: 668,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,074 : 308,286 = 308,286 : x
  2. Step 2: Convert to fraction form
    142,074/308,286 = 308,286/x
  3. Step 3: Cross multiply
    142,074x = 308,286 × 308,286
  4. Step 4: Simplify right side
    142,074x = 95,040,257,796
  5. Step 5: Solve for x
    x = 95,040,257,796/142,074
  6. Step 6: Final answer
    x = 668,948.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.