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Finding the Third Proportional to 172,479 and 269,209

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Solution

The third proportional to 172,479 and 269,209 is: 420,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,479 : 269,209 = 269,209 : x
  2. Step 2: Convert to fraction form
    172,479/269,209 = 269,209/x
  3. Step 3: Cross multiply
    172,479x = 269,209 × 269,209
  4. Step 4: Simplify right side
    172,479x = 72,473,485,681
  5. Step 5: Solve for x
    x = 72,473,485,681/172,479
  6. Step 6: Final answer
    x = 420,187.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.