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Finding the Third Proportional to 310,680 and 672,138

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Solution

The third proportional to 310,680 and 672,138 is: 1,454,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,680 : 672,138 = 672,138 : x
  2. Step 2: Convert to fraction form
    310,680/672,138 = 672,138/x
  3. Step 3: Cross multiply
    310,680x = 672,138 × 672,138
  4. Step 4: Simplify right side
    310,680x = 451,769,491,044
  5. Step 5: Solve for x
    x = 451,769,491,044/310,680
  6. Step 6: Final answer
    x = 1,454,131.23

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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.