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Finding the Third Proportional to 491,128 and 693,225

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Solution

The third proportional to 491,128 and 693,225 is: 978,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,128 : 693,225 = 693,225 : x
  2. Step 2: Convert to fraction form
    491,128/693,225 = 693,225/x
  3. Step 3: Cross multiply
    491,128x = 693,225 × 693,225
  4. Step 4: Simplify right side
    491,128x = 480,560,900,625
  5. Step 5: Solve for x
    x = 480,560,900,625/491,128
  6. Step 6: Final answer
    x = 978,484.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.