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Finding the Third Proportional to 316,626 and 672,114

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Solution

The third proportional to 316,626 and 672,114 is: 1,426,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,626 : 672,114 = 672,114 : x
  2. Step 2: Convert to fraction form
    316,626/672,114 = 672,114/x
  3. Step 3: Cross multiply
    316,626x = 672,114 × 672,114
  4. Step 4: Simplify right side
    316,626x = 451,737,228,996
  5. Step 5: Solve for x
    x = 451,737,228,996/316,626
  6. Step 6: Final answer
    x = 1,426,721.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.