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Finding the Third Proportional to 68,640 and 150,402

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Solution

The third proportional to 68,640 and 150,402 is: 329,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,640 : 150,402 = 150,402 : x
  2. Step 2: Convert to fraction form
    68,640/150,402 = 150,402/x
  3. Step 3: Cross multiply
    68,640x = 150,402 × 150,402
  4. Step 4: Simplify right side
    68,640x = 22,620,761,604
  5. Step 5: Solve for x
    x = 22,620,761,604/68,640
  6. Step 6: Final answer
    x = 329,556.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.