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Finding the Third Proportional to 491,136 and 758,400

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Solution

The third proportional to 491,136 and 758,400 is: 1,171,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,136 : 758,400 = 758,400 : x
  2. Step 2: Convert to fraction form
    491,136/758,400 = 758,400/x
  3. Step 3: Cross multiply
    491,136x = 758,400 × 758,400
  4. Step 4: Simplify right side
    491,136x = 575,170,560,000
  5. Step 5: Solve for x
    x = 575,170,560,000/491,136
  6. Step 6: Final answer
    x = 1,171,102.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.