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Finding the Third Proportional to 310,682 and 672,142

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Solution

The third proportional to 310,682 and 672,142 is: 1,454,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,682 : 672,142 = 672,142 : x
  2. Step 2: Convert to fraction form
    310,682/672,142 = 672,142/x
  3. Step 3: Cross multiply
    310,682x = 672,142 × 672,142
  4. Step 4: Simplify right side
    310,682x = 451,774,868,164
  5. Step 5: Solve for x
    x = 451,774,868,164/310,682
  6. Step 6: Final answer
    x = 1,454,139.18

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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.