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Finding the Third Proportional to 169,209 and 220,218.75

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Solution

The third proportional to 169,209 and 220,218.75 is: 286,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,209 : 220,218.75 = 220,218.75 : x
  2. Step 2: Convert to fraction form
    169,209/220,218.75 = 220,218.75/x
  3. Step 3: Cross multiply
    169,209x = 220,218.75 × 220,218.75
  4. Step 4: Simplify right side
    169,209x = 48,496,297,851.56
  5. Step 5: Solve for x
    x = 48,496,297,851.56/169,209
  6. Step 6: Final answer
    x = 286,605.90

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.