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Finding the Third Proportional to 316,629 and 672,120

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Solution

The third proportional to 316,629 and 672,120 is: 1,426,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,629 : 672,120 = 672,120 : x
  2. Step 2: Convert to fraction form
    316,629/672,120 = 672,120/x
  3. Step 3: Cross multiply
    316,629x = 672,120 × 672,120
  4. Step 4: Simplify right side
    316,629x = 451,745,294,400
  5. Step 5: Solve for x
    x = 451,745,294,400/316,629
  6. Step 6: Final answer
    x = 1,426,733.79

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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.