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Finding the Third Proportional to 317,118 and 491,121

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Solution

The third proportional to 317,118 and 491,121 is: 760,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,118 : 491,121 = 491,121 : x
  2. Step 2: Convert to fraction form
    317,118/491,121 = 491,121/x
  3. Step 3: Cross multiply
    317,118x = 491,121 × 491,121
  4. Step 4: Simplify right side
    317,118x = 241,199,836,641
  5. Step 5: Solve for x
    x = 241,199,836,641/317,118
  6. Step 6: Final answer
    x = 760,599.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.