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Finding the Third Proportional to 221,050 and 477,415

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Solution

The third proportional to 221,050 and 477,415 is: 1,031,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,050 : 477,415 = 477,415 : x
  2. Step 2: Convert to fraction form
    221,050/477,415 = 477,415/x
  3. Step 3: Cross multiply
    221,050x = 477,415 × 477,415
  4. Step 4: Simplify right side
    221,050x = 227,925,082,225
  5. Step 5: Solve for x
    x = 227,925,082,225/221,050
  6. Step 6: Final answer
    x = 1,031,101.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.