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Finding the Third Proportional to 547,138 and 818,516

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Solution

The third proportional to 547,138 and 818,516 is: 1,224,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,138 : 818,516 = 818,516 : x
  2. Step 2: Convert to fraction form
    547,138/818,516 = 818,516/x
  3. Step 3: Cross multiply
    547,138x = 818,516 × 818,516
  4. Step 4: Simplify right side
    547,138x = 669,968,442,256
  5. Step 5: Solve for x
    x = 669,968,442,256/547,138
  6. Step 6: Final answer
    x = 1,224,496.27

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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.