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Finding the Third Proportional to 75,282 and 115,272

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Solution

The third proportional to 75,282 and 115,272 is: 176,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,282 : 115,272 = 115,272 : x
  2. Step 2: Convert to fraction form
    75,282/115,272 = 115,272/x
  3. Step 3: Cross multiply
    75,282x = 115,272 × 115,272
  4. Step 4: Simplify right side
    75,282x = 13,287,633,984
  5. Step 5: Solve for x
    x = 13,287,633,984/75,282
  6. Step 6: Final answer
    x = 176,504.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.