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Finding the Third Proportional to 79,720 and 169,160

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Solution

The third proportional to 79,720 and 169,160 is: 358,945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,720 : 169,160 = 169,160 : x
  2. Step 2: Convert to fraction form
    79,720/169,160 = 169,160/x
  3. Step 3: Cross multiply
    79,720x = 169,160 × 169,160
  4. Step 4: Simplify right side
    79,720x = 28,615,105,600
  5. Step 5: Solve for x
    x = 28,615,105,600/79,720
  6. Step 6: Final answer
    x = 358,945.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.