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Finding the Third Proportional to 78,680.74 and 169,932.46

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Solution

The third proportional to 78,680.74 and 169,932.46 is: 367,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,680.74 : 169,932.46 = 169,932.46 : x
  2. Step 2: Convert to fraction form
    78,680.74/169,932.46 = 169,932.46/x
  3. Step 3: Cross multiply
    78,680.74x = 169,932.46 × 169,932.46
  4. Step 4: Simplify right side
    78,680.74x = 28,877,041,944.07
  5. Step 5: Solve for x
    x = 28,877,041,944.07/78,680.74
  6. Step 6: Final answer
    x = 367,015.37

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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.