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Finding the Third Proportional to 71,684 and 155,804

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Solution

The third proportional to 71,684 and 155,804 is: 338,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,684 : 155,804 = 155,804 : x
  2. Step 2: Convert to fraction form
    71,684/155,804 = 155,804/x
  3. Step 3: Cross multiply
    71,684x = 155,804 × 155,804
  4. Step 4: Simplify right side
    71,684x = 24,274,886,416
  5. Step 5: Solve for x
    x = 24,274,886,416/71,684
  6. Step 6: Final answer
    x = 338,637.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.