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Finding the Third Proportional to 317,196 and 490,914

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Solution

The third proportional to 317,196 and 490,914 is: 759,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,196 : 490,914 = 490,914 : x
  2. Step 2: Convert to fraction form
    317,196/490,914 = 490,914/x
  3. Step 3: Cross multiply
    317,196x = 490,914 × 490,914
  4. Step 4: Simplify right side
    317,196x = 240,996,555,396
  5. Step 5: Solve for x
    x = 240,996,555,396/317,196
  6. Step 6: Final answer
    x = 759,771.74

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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.