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Finding the Third Proportional to 103,233 and 218,871

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Solution

The third proportional to 103,233 and 218,871 is: 464,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,233 : 218,871 = 218,871 : x
  2. Step 2: Convert to fraction form
    103,233/218,871 = 218,871/x
  3. Step 3: Cross multiply
    103,233x = 218,871 × 218,871
  4. Step 4: Simplify right side
    103,233x = 47,904,514,641
  5. Step 5: Solve for x
    x = 47,904,514,641/103,233
  6. Step 6: Final answer
    x = 464,042.65

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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.