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Finding the Third Proportional to 447,087 and 676,409

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Solution

The third proportional to 447,087 and 676,409 is: 1,023,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,087 : 676,409 = 676,409 : x
  2. Step 2: Convert to fraction form
    447,087/676,409 = 676,409/x
  3. Step 3: Cross multiply
    447,087x = 676,409 × 676,409
  4. Step 4: Simplify right side
    447,087x = 457,529,135,281
  5. Step 5: Solve for x
    x = 457,529,135,281/447,087
  6. Step 6: Final answer
    x = 1,023,355.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.