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Finding the Third Proportional to 78,646 and 169,806

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Solution

The third proportional to 78,646 and 169,806 is: 366,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,646 : 169,806 = 169,806 : x
  2. Step 2: Convert to fraction form
    78,646/169,806 = 169,806/x
  3. Step 3: Cross multiply
    78,646x = 169,806 × 169,806
  4. Step 4: Simplify right side
    78,646x = 28,834,077,636
  5. Step 5: Solve for x
    x = 28,834,077,636/78,646
  6. Step 6: Final answer
    x = 366,631.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.