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Finding the Third Proportional to 284.72 and 521.98

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Solution

The third proportional to 284.72 and 521.98 is: 956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.72 : 521.98 = 521.98 : x
  2. Step 2: Convert to fraction form
    284.72/521.98 = 521.98/x
  3. Step 3: Cross multiply
    284.72x = 521.98 × 521.98
  4. Step 4: Simplify right side
    284.72x = 272,465.36
  5. Step 5: Solve for x
    x = 272,465.36/284.72
  6. Step 6: Final answer
    x = 956.97

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.