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Finding the Third Proportional to 206,820 and 432,579

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Solution

The third proportional to 206,820 and 432,579 is: 904,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,820 : 432,579 = 432,579 : x
  2. Step 2: Convert to fraction form
    206,820/432,579 = 432,579/x
  3. Step 3: Cross multiply
    206,820x = 432,579 × 432,579
  4. Step 4: Simplify right side
    206,820x = 187,124,591,241
  5. Step 5: Solve for x
    x = 187,124,591,241/206,820
  6. Step 6: Final answer
    x = 904,770.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.