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Finding the Third Proportional to 243.47 and 509.37

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Solution

The third proportional to 243.47 and 509.37 is: 1,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.47 : 509.37 = 509.37 : x
  2. Step 2: Convert to fraction form
    243.47/509.37 = 509.37/x
  3. Step 3: Cross multiply
    243.47x = 509.37 × 509.37
  4. Step 4: Simplify right side
    243.47x = 259,462.39
  5. Step 5: Solve for x
    x = 259,462.39/243.47
  6. Step 6: Final answer
    x = 1,065.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.