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Finding the Third Proportional to 317,115 and 491,118

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Solution

The third proportional to 317,115 and 491,118 is: 760,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,115 : 491,118 = 491,118 : x
  2. Step 2: Convert to fraction form
    317,115/491,118 = 491,118/x
  3. Step 3: Cross multiply
    317,115x = 491,118 × 491,118
  4. Step 4: Simplify right side
    317,115x = 241,196,889,924
  5. Step 5: Solve for x
    x = 241,196,889,924/317,115
  6. Step 6: Final answer
    x = 760,597.54

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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.