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Finding the Third Proportional to 547,140 and 818,519

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Solution

The third proportional to 547,140 and 818,519 is: 1,224,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,140 : 818,519 = 818,519 : x
  2. Step 2: Convert to fraction form
    547,140/818,519 = 818,519/x
  3. Step 3: Cross multiply
    547,140x = 818,519 × 818,519
  4. Step 4: Simplify right side
    547,140x = 669,973,353,361
  5. Step 5: Solve for x
    x = 669,973,353,361/547,140
  6. Step 6: Final answer
    x = 1,224,500.77

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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.