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Finding the Third Proportional to 521,901 and 799,704

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Solution

The third proportional to 521,901 and 799,704 is: 1,225,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,901 : 799,704 = 799,704 : x
  2. Step 2: Convert to fraction form
    521,901/799,704 = 799,704/x
  3. Step 3: Cross multiply
    521,901x = 799,704 × 799,704
  4. Step 4: Simplify right side
    521,901x = 639,526,487,616
  5. Step 5: Solve for x
    x = 639,526,487,616/521,901
  6. Step 6: Final answer
    x = 1,225,378.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.