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Finding the Third Proportional to 110,544 and 172,320

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Solution

The third proportional to 110,544 and 172,320 is: 268,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,544 : 172,320 = 172,320 : x
  2. Step 2: Convert to fraction form
    110,544/172,320 = 172,320/x
  3. Step 3: Cross multiply
    110,544x = 172,320 × 172,320
  4. Step 4: Simplify right side
    110,544x = 29,694,182,400
  5. Step 5: Solve for x
    x = 29,694,182,400/110,544
  6. Step 6: Final answer
    x = 268,618.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.