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Finding the Third Proportional to 69,759 and 148,239

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Solution

The third proportional to 69,759 and 148,239 is: 315,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,759 : 148,239 = 148,239 : x
  2. Step 2: Convert to fraction form
    69,759/148,239 = 148,239/x
  3. Step 3: Cross multiply
    69,759x = 148,239 × 148,239
  4. Step 4: Simplify right side
    69,759x = 21,974,801,121
  5. Step 5: Solve for x
    x = 21,974,801,121/69,759
  6. Step 6: Final answer
    x = 315,010.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.