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Finding the Third Proportional to 71,328 and 110,888

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Solution

The third proportional to 71,328 and 110,888 is: 172,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,328 : 110,888 = 110,888 : x
  2. Step 2: Convert to fraction form
    71,328/110,888 = 110,888/x
  3. Step 3: Cross multiply
    71,328x = 110,888 × 110,888
  4. Step 4: Simplify right side
    71,328x = 12,296,148,544
  5. Step 5: Solve for x
    x = 12,296,148,544/71,328
  6. Step 6: Final answer
    x = 172,388.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.