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Finding the Third Proportional to 547,448 and 818,960

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Solution

The third proportional to 547,448 and 818,960 is: 1,225,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,448 : 818,960 = 818,960 : x
  2. Step 2: Convert to fraction form
    547,448/818,960 = 818,960/x
  3. Step 3: Cross multiply
    547,448x = 818,960 × 818,960
  4. Step 4: Simplify right side
    547,448x = 670,695,481,600
  5. Step 5: Solve for x
    x = 670,695,481,600/547,448
  6. Step 6: Final answer
    x = 1,225,130.94

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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.