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Finding the Third Proportional to 521,166 and 787,338

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Solution

The third proportional to 521,166 and 787,338 is: 1,189,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,166 : 787,338 = 787,338 : x
  2. Step 2: Convert to fraction form
    521,166/787,338 = 787,338/x
  3. Step 3: Cross multiply
    521,166x = 787,338 × 787,338
  4. Step 4: Simplify right side
    521,166x = 619,901,126,244
  5. Step 5: Solve for x
    x = 619,901,126,244/521,166
  6. Step 6: Final answer
    x = 1,189,450.44

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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.