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Finding the Third Proportional to 508,744 and 809,823

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Solution

The third proportional to 508,744 and 809,823 is: 1,289,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,744 : 809,823 = 809,823 : x
  2. Step 2: Convert to fraction form
    508,744/809,823 = 809,823/x
  3. Step 3: Cross multiply
    508,744x = 809,823 × 809,823
  4. Step 4: Simplify right side
    508,744x = 655,813,291,329
  5. Step 5: Solve for x
    x = 655,813,291,329/508,744
  6. Step 6: Final answer
    x = 1,289,083.10

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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.