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Finding the Third Proportional to 547,388 and 818,898

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Solution

The third proportional to 547,388 and 818,898 is: 1,225,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,388 : 818,898 = 818,898 : x
  2. Step 2: Convert to fraction form
    547,388/818,898 = 818,898/x
  3. Step 3: Cross multiply
    547,388x = 818,898 × 818,898
  4. Step 4: Simplify right side
    547,388x = 670,593,934,404
  5. Step 5: Solve for x
    x = 670,593,934,404/547,388
  6. Step 6: Final answer
    x = 1,225,079.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.