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Finding the Third Proportional to 321,673 and 473,149

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Solution

The third proportional to 321,673 and 473,149 is: 695,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,673 : 473,149 = 473,149 : x
  2. Step 2: Convert to fraction form
    321,673/473,149 = 473,149/x
  3. Step 3: Cross multiply
    321,673x = 473,149 × 473,149
  4. Step 4: Simplify right side
    321,673x = 223,869,976,201
  5. Step 5: Solve for x
    x = 223,869,976,201/321,673
  6. Step 6: Final answer
    x = 695,955.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.