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Finding the Third Proportional to 321,663 and 473,137

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Solution

The third proportional to 321,663 and 473,137 is: 695,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,663 : 473,137 = 473,137 : x
  2. Step 2: Convert to fraction form
    321,663/473,137 = 473,137/x
  3. Step 3: Cross multiply
    321,663x = 473,137 × 473,137
  4. Step 4: Simplify right side
    321,663x = 223,858,620,769
  5. Step 5: Solve for x
    x = 223,858,620,769/321,663
  6. Step 6: Final answer
    x = 695,941.47

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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.