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Finding the Third Proportional to 180,540 and 279,406

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Solution

The third proportional to 180,540 and 279,406 is: 432,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,540 : 279,406 = 279,406 : x
  2. Step 2: Convert to fraction form
    180,540/279,406 = 279,406/x
  3. Step 3: Cross multiply
    180,540x = 279,406 × 279,406
  4. Step 4: Simplify right side
    180,540x = 78,067,712,836
  5. Step 5: Solve for x
    x = 78,067,712,836/180,540
  6. Step 6: Final answer
    x = 432,412.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.