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Finding the Third Proportional to 68,164 and 148,720

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Solution

The third proportional to 68,164 and 148,720 is: 324,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164 : 148,720 = 148,720 : x
  2. Step 2: Convert to fraction form
    68,164/148,720 = 148,720/x
  3. Step 3: Cross multiply
    68,164x = 148,720 × 148,720
  4. Step 4: Simplify right side
    68,164x = 22,117,638,400
  5. Step 5: Solve for x
    x = 22,117,638,400/68,164
  6. Step 6: Final answer
    x = 324,476.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.