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Finding the Third Proportional to 221,409 and 474,315

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Solution

The third proportional to 221,409 and 474,315 is: 1,016,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,409 : 474,315 = 474,315 : x
  2. Step 2: Convert to fraction form
    221,409/474,315 = 474,315/x
  3. Step 3: Cross multiply
    221,409x = 474,315 × 474,315
  4. Step 4: Simplify right side
    221,409x = 224,974,719,225
  5. Step 5: Solve for x
    x = 224,974,719,225/221,409
  6. Step 6: Final answer
    x = 1,016,104.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.