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Finding the Third Proportional to 551,931 and 809,727

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Solution

The third proportional to 551,931 and 809,727 is: 1,187,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,931 : 809,727 = 809,727 : x
  2. Step 2: Convert to fraction form
    551,931/809,727 = 809,727/x
  3. Step 3: Cross multiply
    551,931x = 809,727 × 809,727
  4. Step 4: Simplify right side
    551,931x = 655,657,814,529
  5. Step 5: Solve for x
    x = 655,657,814,529/551,931
  6. Step 6: Final answer
    x = 1,187,934.39

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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.