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Finding the Third Proportional to 551,928 and 809,720

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Solution

The third proportional to 551,928 and 809,720 is: 1,187,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,928 : 809,720 = 809,720 : x
  2. Step 2: Convert to fraction form
    551,928/809,720 = 809,720/x
  3. Step 3: Cross multiply
    551,928x = 809,720 × 809,720
  4. Step 4: Simplify right side
    551,928x = 655,646,478,400
  5. Step 5: Solve for x
    x = 655,646,478,400/551,928
  6. Step 6: Final answer
    x = 1,187,920.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.