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Finding the Third Proportional to 477,422 and 669,261

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Solution

The third proportional to 477,422 and 669,261 is: 938,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,422 : 669,261 = 669,261 : x
  2. Step 2: Convert to fraction form
    477,422/669,261 = 669,261/x
  3. Step 3: Cross multiply
    477,422x = 669,261 × 669,261
  4. Step 4: Simplify right side
    477,422x = 447,910,286,121
  5. Step 5: Solve for x
    x = 447,910,286,121/477,422
  6. Step 6: Final answer
    x = 938,185.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.