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Finding the Third Proportional to 78,462.75 and 169,961.25

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Solution

The third proportional to 78,462.75 and 169,961.25 is: 368,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,462.75 : 169,961.25 = 169,961.25 : x
  2. Step 2: Convert to fraction form
    78,462.75/169,961.25 = 169,961.25/x
  3. Step 3: Cross multiply
    78,462.75x = 169,961.25 × 169,961.25
  4. Step 4: Simplify right side
    78,462.75x = 28,886,826,501.56
  5. Step 5: Solve for x
    x = 28,886,826,501.56/78,462.75
  6. Step 6: Final answer
    x = 368,159.75

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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.