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Finding the Third Proportional to 42,828 and 75,288

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Solution

The third proportional to 42,828 and 75,288 is: 132,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,828 : 75,288 = 75,288 : x
  2. Step 2: Convert to fraction form
    42,828/75,288 = 75,288/x
  3. Step 3: Cross multiply
    42,828x = 75,288 × 75,288
  4. Step 4: Simplify right side
    42,828x = 5,668,282,944
  5. Step 5: Solve for x
    x = 5,668,282,944/42,828
  6. Step 6: Final answer
    x = 132,349.93

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.