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Finding the Third Proportional to 317,196 and 491,730

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Solution

The third proportional to 317,196 and 491,730 is: 762,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,196 : 491,730 = 491,730 : x
  2. Step 2: Convert to fraction form
    317,196/491,730 = 491,730/x
  3. Step 3: Cross multiply
    317,196x = 491,730 × 491,730
  4. Step 4: Simplify right side
    317,196x = 241,798,392,900
  5. Step 5: Solve for x
    x = 241,798,392,900/317,196
  6. Step 6: Final answer
    x = 762,299.63

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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.