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Finding the Third Proportional to 78,540 and 163,704

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Solution

The third proportional to 78,540 and 163,704 is: 341,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540 : 163,704 = 163,704 : x
  2. Step 2: Convert to fraction form
    78,540/163,704 = 163,704/x
  3. Step 3: Cross multiply
    78,540x = 163,704 × 163,704
  4. Step 4: Simplify right side
    78,540x = 26,798,999,616
  5. Step 5: Solve for x
    x = 26,798,999,616/78,540
  6. Step 6: Final answer
    x = 341,214.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.