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Finding the Third Proportional to 75,510 and 105,828

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Solution

The third proportional to 75,510 and 105,828 is: 148,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,510 : 105,828 = 105,828 : x
  2. Step 2: Convert to fraction form
    75,510/105,828 = 105,828/x
  3. Step 3: Cross multiply
    75,510x = 105,828 × 105,828
  4. Step 4: Simplify right side
    75,510x = 11,199,565,584
  5. Step 5: Solve for x
    x = 11,199,565,584/75,510
  6. Step 6: Final answer
    x = 148,318.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.