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Finding the Third Proportional to 491,122 and 693,216

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Solution

The third proportional to 491,122 and 693,216 is: 978,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,122 : 693,216 = 693,216 : x
  2. Step 2: Convert to fraction form
    491,122/693,216 = 693,216/x
  3. Step 3: Cross multiply
    491,122x = 693,216 × 693,216
  4. Step 4: Simplify right side
    491,122x = 480,548,422,656
  5. Step 5: Solve for x
    x = 480,548,422,656/491,122
  6. Step 6: Final answer
    x = 978,470.57

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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.