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Finding the Third Proportional to 508,732 and 809,805

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Solution

The third proportional to 508,732 and 809,805 is: 1,289,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,732 : 809,805 = 809,805 : x
  2. Step 2: Convert to fraction form
    508,732/809,805 = 809,805/x
  3. Step 3: Cross multiply
    508,732x = 809,805 × 809,805
  4. Step 4: Simplify right side
    508,732x = 655,784,138,025
  5. Step 5: Solve for x
    x = 655,784,138,025/508,732
  6. Step 6: Final answer
    x = 1,289,056.20

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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.