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Finding the Third Proportional to 78,464.25 and 169,967.25

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Solution

The third proportional to 78,464.25 and 169,967.25 is: 368,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,464.25 : 169,967.25 = 169,967.25 : x
  2. Step 2: Convert to fraction form
    78,464.25/169,967.25 = 169,967.25/x
  3. Step 3: Cross multiply
    78,464.25x = 169,967.25 × 169,967.25
  4. Step 4: Simplify right side
    78,464.25x = 28,888,866,072.56
  5. Step 5: Solve for x
    x = 28,888,866,072.56/78,464.25
  6. Step 6: Final answer
    x = 368,178.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.