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Finding the Third Proportional to 163,104 and 252,078

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Solution

The third proportional to 163,104 and 252,078 is: 389,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,104 : 252,078 = 252,078 : x
  2. Step 2: Convert to fraction form
    163,104/252,078 = 252,078/x
  3. Step 3: Cross multiply
    163,104x = 252,078 × 252,078
  4. Step 4: Simplify right side
    163,104x = 63,543,318,084
  5. Step 5: Solve for x
    x = 63,543,318,084/163,104
  6. Step 6: Final answer
    x = 389,587.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.