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Finding the Third Proportional to 78,694.50 and 169,953

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Solution

The third proportional to 78,694.50 and 169,953 is: 367,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,694.50 : 169,953 = 169,953 : x
  2. Step 2: Convert to fraction form
    78,694.50/169,953 = 169,953/x
  3. Step 3: Cross multiply
    78,694.50x = 169,953 × 169,953
  4. Step 4: Simplify right side
    78,694.50x = 28,884,022,209
  5. Step 5: Solve for x
    x = 28,884,022,209/78,694.50
  6. Step 6: Final answer
    x = 367,039.91

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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.