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Finding the Third Proportional to 248.27 and 530.51

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Solution

The third proportional to 248.27 and 530.51 is: 1,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.27 : 530.51 = 530.51 : x
  2. Step 2: Convert to fraction form
    248.27/530.51 = 530.51/x
  3. Step 3: Cross multiply
    248.27x = 530.51 × 530.51
  4. Step 4: Simplify right side
    248.27x = 281,438.54
  5. Step 5: Solve for x
    x = 281,438.54/248.27
  6. Step 6: Final answer
    x = 1,133.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.