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Finding the Third Proportional to 221,440.50 and 312,048

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Solution

The third proportional to 221,440.50 and 312,048 is: 439,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,440.50 : 312,048 = 312,048 : x
  2. Step 2: Convert to fraction form
    221,440.50/312,048 = 312,048/x
  3. Step 3: Cross multiply
    221,440.50x = 312,048 × 312,048
  4. Step 4: Simplify right side
    221,440.50x = 97,373,954,304
  5. Step 5: Solve for x
    x = 97,373,954,304/221,440.50
  6. Step 6: Final answer
    x = 439,729.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.