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Finding the Third Proportional to 244.50 and 509.20

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Solution

The third proportional to 244.50 and 509.20 is: 1,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.50 : 509.20 = 509.20 : x
  2. Step 2: Convert to fraction form
    244.50/509.20 = 509.20/x
  3. Step 3: Cross multiply
    244.50x = 509.20 × 509.20
  4. Step 4: Simplify right side
    244.50x = 259,287.82
  5. Step 5: Solve for x
    x = 259,287.82/244.50
  6. Step 6: Final answer
    x = 1,060.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.