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Finding the Third Proportional to 317,085 and 490,766

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Solution

The third proportional to 317,085 and 490,766 is: 759,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,085 : 490,766 = 490,766 : x
  2. Step 2: Convert to fraction form
    317,085/490,766 = 490,766/x
  3. Step 3: Cross multiply
    317,085x = 490,766 × 490,766
  4. Step 4: Simplify right side
    317,085x = 240,851,266,756
  5. Step 5: Solve for x
    x = 240,851,266,756/317,085
  6. Step 6: Final answer
    x = 759,579.50

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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.