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Finding the Third Proportional to 217,287.56 and 301,441.50

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Solution

The third proportional to 217,287.56 and 301,441.50 is: 418,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,287.56 : 301,441.50 = 301,441.50 : x
  2. Step 2: Convert to fraction form
    217,287.56/301,441.50 = 301,441.50/x
  3. Step 3: Cross multiply
    217,287.56x = 301,441.50 × 301,441.50
  4. Step 4: Simplify right side
    217,287.56x = 90,866,977,922.25
  5. Step 5: Solve for x
    x = 90,866,977,922.25/217,287.56
  6. Step 6: Final answer
    x = 418,187.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.