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Finding the Third Proportional to 78,548 and 161,704

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Solution

The third proportional to 78,548 and 161,704 is: 332,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,548 : 161,704 = 161,704 : x
  2. Step 2: Convert to fraction form
    78,548/161,704 = 161,704/x
  3. Step 3: Cross multiply
    78,548x = 161,704 × 161,704
  4. Step 4: Simplify right side
    78,548x = 26,148,183,616
  5. Step 5: Solve for x
    x = 26,148,183,616/78,548
  6. Step 6: Final answer
    x = 332,894.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.