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Finding the Third Proportional to 147,503 and 221,399

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Solution

The third proportional to 147,503 and 221,399 is: 332,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,503 : 221,399 = 221,399 : x
  2. Step 2: Convert to fraction form
    147,503/221,399 = 221,399/x
  3. Step 3: Cross multiply
    147,503x = 221,399 × 221,399
  4. Step 4: Simplify right side
    147,503x = 49,017,517,201
  5. Step 5: Solve for x
    x = 49,017,517,201/147,503
  6. Step 6: Final answer
    x = 332,315.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.