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Finding the Third Proportional to 78,538 and 163,700

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Solution

The third proportional to 78,538 and 163,700 is: 341,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,538 : 163,700 = 163,700 : x
  2. Step 2: Convert to fraction form
    78,538/163,700 = 163,700/x
  3. Step 3: Cross multiply
    78,538x = 163,700 × 163,700
  4. Step 4: Simplify right side
    78,538x = 26,797,690,000
  5. Step 5: Solve for x
    x = 26,797,690,000/78,538
  6. Step 6: Final answer
    x = 341,206.68

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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.