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Finding the Third Proportional to 72,921 and 171,693

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Solution

The third proportional to 72,921 and 171,693 is: 404,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,921 : 171,693 = 171,693 : x
  2. Step 2: Convert to fraction form
    72,921/171,693 = 171,693/x
  3. Step 3: Cross multiply
    72,921x = 171,693 × 171,693
  4. Step 4: Simplify right side
    72,921x = 29,478,486,249
  5. Step 5: Solve for x
    x = 29,478,486,249/72,921
  6. Step 6: Final answer
    x = 404,252.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.