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Finding the Third Proportional to 508,738 and 809,814

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Solution

The third proportional to 508,738 and 809,814 is: 1,289,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,738 : 809,814 = 809,814 : x
  2. Step 2: Convert to fraction form
    508,738/809,814 = 809,814/x
  3. Step 3: Cross multiply
    508,738x = 809,814 × 809,814
  4. Step 4: Simplify right side
    508,738x = 655,798,714,596
  5. Step 5: Solve for x
    x = 655,798,714,596/508,738
  6. Step 6: Final answer
    x = 1,289,069.65

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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.