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Finding the Third Proportional to 180,623 and 268,320

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Solution

The third proportional to 180,623 and 268,320 is: 398,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,623 : 268,320 = 268,320 : x
  2. Step 2: Convert to fraction form
    180,623/268,320 = 268,320/x
  3. Step 3: Cross multiply
    180,623x = 268,320 × 268,320
  4. Step 4: Simplify right side
    180,623x = 71,995,622,400
  5. Step 5: Solve for x
    x = 71,995,622,400/180,623
  6. Step 6: Final answer
    x = 398,596.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.