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Finding the Third Proportional to 321,722 and 473,217

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Solution

The third proportional to 321,722 and 473,217 is: 696,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,722 : 473,217 = 473,217 : x
  2. Step 2: Convert to fraction form
    321,722/473,217 = 473,217/x
  3. Step 3: Cross multiply
    321,722x = 473,217 × 473,217
  4. Step 4: Simplify right side
    321,722x = 223,934,329,089
  5. Step 5: Solve for x
    x = 223,934,329,089/321,722
  6. Step 6: Final answer
    x = 696,049.16

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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.