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Finding the Third Proportional to 251,136 and 522,720

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Solution

The third proportional to 251,136 and 522,720 is: 1,088,000.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,136 : 522,720 = 522,720 : x
  2. Step 2: Convert to fraction form
    251,136/522,720 = 522,720/x
  3. Step 3: Cross multiply
    251,136x = 522,720 × 522,720
  4. Step 4: Simplify right side
    251,136x = 273,236,198,400
  5. Step 5: Solve for x
    x = 273,236,198,400/251,136
  6. Step 6: Final answer
    x = 1,088,000.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.