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Finding the Third Proportional to 235.65 and 509.24

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Solution

The third proportional to 235.65 and 509.24 is: 1,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.65 : 509.24 = 509.24 : x
  2. Step 2: Convert to fraction form
    235.65/509.24 = 509.24/x
  3. Step 3: Cross multiply
    235.65x = 509.24 × 509.24
  4. Step 4: Simplify right side
    235.65x = 259,323.63
  5. Step 5: Solve for x
    x = 259,323.63/235.65
  6. Step 6: Final answer
    x = 1,100.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.