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Finding the Third Proportional to 71,948 and 108,920

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Solution

The third proportional to 71,948 and 108,920 is: 164,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,948 : 108,920 = 108,920 : x
  2. Step 2: Convert to fraction form
    71,948/108,920 = 108,920/x
  3. Step 3: Cross multiply
    71,948x = 108,920 × 108,920
  4. Step 4: Simplify right side
    71,948x = 11,863,566,400
  5. Step 5: Solve for x
    x = 11,863,566,400/71,948
  6. Step 6: Final answer
    x = 164,890.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.