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Finding the Third Proportional to 83,905 and 163,556

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Solution

The third proportional to 83,905 and 163,556 is: 318,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,905 : 163,556 = 163,556 : x
  2. Step 2: Convert to fraction form
    83,905/163,556 = 163,556/x
  3. Step 3: Cross multiply
    83,905x = 163,556 × 163,556
  4. Step 4: Simplify right side
    83,905x = 26,750,565,136
  5. Step 5: Solve for x
    x = 26,750,565,136/83,905
  6. Step 6: Final answer
    x = 318,819.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.