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Finding the Third Proportional to 508,749 and 809,822

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Solution

The third proportional to 508,749 and 809,822 is: 1,289,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,749 : 809,822 = 809,822 : x
  2. Step 2: Convert to fraction form
    508,749/809,822 = 809,822/x
  3. Step 3: Cross multiply
    508,749x = 809,822 × 809,822
  4. Step 4: Simplify right side
    508,749x = 655,811,671,684
  5. Step 5: Solve for x
    x = 655,811,671,684/508,749
  6. Step 6: Final answer
    x = 1,289,067.24

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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.