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Finding the Third Proportional to 75,428 and 111,838

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Solution

The third proportional to 75,428 and 111,838 is: 165,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,428 : 111,838 = 111,838 : x
  2. Step 2: Convert to fraction form
    75,428/111,838 = 111,838/x
  3. Step 3: Cross multiply
    75,428x = 111,838 × 111,838
  4. Step 4: Simplify right side
    75,428x = 12,507,738,244
  5. Step 5: Solve for x
    x = 12,507,738,244/75,428
  6. Step 6: Final answer
    x = 165,823.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.