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Finding the Third Proportional to 180,544 and 279,412

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Solution

The third proportional to 180,544 and 279,412 is: 432,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,544 : 279,412 = 279,412 : x
  2. Step 2: Convert to fraction form
    180,544/279,412 = 279,412/x
  3. Step 3: Cross multiply
    180,544x = 279,412 × 279,412
  4. Step 4: Simplify right side
    180,544x = 78,071,065,744
  5. Step 5: Solve for x
    x = 78,071,065,744/180,544
  6. Step 6: Final answer
    x = 432,421.27

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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.