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Finding the Third Proportional to 107,165 and 161,720

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Solution

The third proportional to 107,165 and 161,720 is: 244,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,165 : 161,720 = 161,720 : x
  2. Step 2: Convert to fraction form
    107,165/161,720 = 161,720/x
  3. Step 3: Cross multiply
    107,165x = 161,720 × 161,720
  4. Step 4: Simplify right side
    107,165x = 26,153,358,400
  5. Step 5: Solve for x
    x = 26,153,358,400/107,165
  6. Step 6: Final answer
    x = 244,047.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.