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Finding the Third Proportional to 317,084.50 and 490,765.50

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Solution

The third proportional to 317,084.50 and 490,765.50 is: 759,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,084.50 : 490,765.50 = 490,765.50 : x
  2. Step 2: Convert to fraction form
    317,084.50/490,765.50 = 490,765.50/x
  3. Step 3: Cross multiply
    317,084.50x = 490,765.50 × 490,765.50
  4. Step 4: Simplify right side
    317,084.50x = 240,850,775,990.25
  5. Step 5: Solve for x
    x = 240,850,775,990.25/317,084.50
  6. Step 6: Final answer
    x = 759,579.15

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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.