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Finding the Third Proportional to 249 and 510.38

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Solution

The third proportional to 249 and 510.38 is: 1,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249 : 510.38 = 510.38 : x
  2. Step 2: Convert to fraction form
    249/510.38 = 510.38/x
  3. Step 3: Cross multiply
    249x = 510.38 × 510.38
  4. Step 4: Simplify right side
    249x = 260,482.64
  5. Step 5: Solve for x
    x = 260,482.64/249
  6. Step 6: Final answer
    x = 1,046.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.