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Finding the Third Proportional to 79,916 and 169,688

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Solution

The third proportional to 79,916 and 169,688 is: 360,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,916 : 169,688 = 169,688 : x
  2. Step 2: Convert to fraction form
    79,916/169,688 = 169,688/x
  3. Step 3: Cross multiply
    79,916x = 169,688 × 169,688
  4. Step 4: Simplify right side
    79,916x = 28,794,017,344
  5. Step 5: Solve for x
    x = 28,794,017,344/79,916
  6. Step 6: Final answer
    x = 360,303.54

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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.