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Finding the Third Proportional to 180,282 and 261,127

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Solution

The third proportional to 180,282 and 261,127 is: 378,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,282 : 261,127 = 261,127 : x
  2. Step 2: Convert to fraction form
    180,282/261,127 = 261,127/x
  3. Step 3: Cross multiply
    180,282x = 261,127 × 261,127
  4. Step 4: Simplify right side
    180,282x = 68,187,310,129
  5. Step 5: Solve for x
    x = 68,187,310,129/180,282
  6. Step 6: Final answer
    x = 378,225.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.