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Finding the Third Proportional to 180,866 and 275,507

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Solution

The third proportional to 180,866 and 275,507 is: 419,670.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,866 : 275,507 = 275,507 : x
  2. Step 2: Convert to fraction form
    180,866/275,507 = 275,507/x
  3. Step 3: Cross multiply
    180,866x = 275,507 × 275,507
  4. Step 4: Simplify right side
    180,866x = 75,904,107,049
  5. Step 5: Solve for x
    x = 75,904,107,049/180,866
  6. Step 6: Final answer
    x = 419,670.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.