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Finding the Third Proportional to 508,713.50 and 809,771

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Solution

The third proportional to 508,713.50 and 809,771 is: 1,288,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,713.50 : 809,771 = 809,771 : x
  2. Step 2: Convert to fraction form
    508,713.50/809,771 = 809,771/x
  3. Step 3: Cross multiply
    508,713.50x = 809,771 × 809,771
  4. Step 4: Simplify right side
    508,713.50x = 655,729,072,441
  5. Step 5: Solve for x
    x = 655,729,072,441/508,713.50
  6. Step 6: Final answer
    x = 1,288,994.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.