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Finding the Third Proportional to 271.78 and 586.03

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Solution

The third proportional to 271.78 and 586.03 is: 1,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.78 : 586.03 = 586.03 : x
  2. Step 2: Convert to fraction form
    271.78/586.03 = 586.03/x
  3. Step 3: Cross multiply
    271.78x = 586.03 × 586.03
  4. Step 4: Simplify right side
    271.78x = 343,432.63
  5. Step 5: Solve for x
    x = 343,432.63/271.78
  6. Step 6: Final answer
    x = 1,263.64

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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.