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Finding the Third Proportional to 521,568 and 767,520

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Solution

The third proportional to 521,568 and 767,520 is: 1,129,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,568 : 767,520 = 767,520 : x
  2. Step 2: Convert to fraction form
    521,568/767,520 = 767,520/x
  3. Step 3: Cross multiply
    521,568x = 767,520 × 767,520
  4. Step 4: Simplify right side
    521,568x = 589,086,950,400
  5. Step 5: Solve for x
    x = 589,086,950,400/521,568
  6. Step 6: Final answer
    x = 1,129,453.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.