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Finding the Third Proportional to 78,680.53 and 169,799.63

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Solution

The third proportional to 78,680.53 and 169,799.63 is: 366,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,680.53 : 169,799.63 = 169,799.63 : x
  2. Step 2: Convert to fraction form
    78,680.53/169,799.63 = 169,799.63/x
  3. Step 3: Cross multiply
    78,680.53x = 169,799.63 × 169,799.63
  4. Step 4: Simplify right side
    78,680.53x = 28,831,912,650.14
  5. Step 5: Solve for x
    x = 28,831,912,650.14/78,680.53
  6. Step 6: Final answer
    x = 366,442.78

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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.