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Finding the Third Proportional to 289 and 498

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Solution

The third proportional to 289 and 498 is: 858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 498 = 498 : x
  2. Step 2: Convert to fraction form
    289/498 = 498/x
  3. Step 3: Cross multiply
    289x = 498 × 498
  4. Step 4: Simplify right side
    289x = 248,004
  5. Step 5: Solve for x
    x = 248,004/289
  6. Step 6: Final answer
    x = 858.15

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.