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Finding the Third Proportional to 310,678 and 672,134

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Solution

The third proportional to 310,678 and 672,134 is: 1,454,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,678 : 672,134 = 672,134 : x
  2. Step 2: Convert to fraction form
    310,678/672,134 = 672,134/x
  3. Step 3: Cross multiply
    310,678x = 672,134 × 672,134
  4. Step 4: Simplify right side
    310,678x = 451,764,113,956
  5. Step 5: Solve for x
    x = 451,764,113,956/310,678
  6. Step 6: Final answer
    x = 1,454,123.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.