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Finding the Third Proportional to 508,742 and 809,820

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Solution

The third proportional to 508,742 and 809,820 is: 1,289,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,742 : 809,820 = 809,820 : x
  2. Step 2: Convert to fraction form
    508,742/809,820 = 809,820/x
  3. Step 3: Cross multiply
    508,742x = 809,820 × 809,820
  4. Step 4: Simplify right side
    508,742x = 655,808,432,400
  5. Step 5: Solve for x
    x = 655,808,432,400/508,742
  6. Step 6: Final answer
    x = 1,289,078.61

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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.