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Finding the Third Proportional to 306,187 and 672,151

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Solution

The third proportional to 306,187 and 672,151 is: 1,475,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,187 : 672,151 = 672,151 : x
  2. Step 2: Convert to fraction form
    306,187/672,151 = 672,151/x
  3. Step 3: Cross multiply
    306,187x = 672,151 × 672,151
  4. Step 4: Simplify right side
    306,187x = 451,786,966,801
  5. Step 5: Solve for x
    x = 451,786,966,801/306,187
  6. Step 6: Final answer
    x = 1,475,526.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.