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Finding the Third Proportional to 508,739 and 809,809

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Solution

The third proportional to 508,739 and 809,809 is: 1,289,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,739 : 809,809 = 809,809 : x
  2. Step 2: Convert to fraction form
    508,739/809,809 = 809,809/x
  3. Step 3: Cross multiply
    508,739x = 809,809 × 809,809
  4. Step 4: Simplify right side
    508,739x = 655,790,616,481
  5. Step 5: Solve for x
    x = 655,790,616,481/508,739
  6. Step 6: Final answer
    x = 1,289,051.20

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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.