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Finding the Third Proportional to 536.13 and 586.75

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Solution

The third proportional to 536.13 and 586.75 is: 642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.13 : 586.75 = 586.75 : x
  2. Step 2: Convert to fraction form
    536.13/586.75 = 586.75/x
  3. Step 3: Cross multiply
    536.13x = 586.75 × 586.75
  4. Step 4: Simplify right side
    536.13x = 344,275.56
  5. Step 5: Solve for x
    x = 344,275.56/536.13
  6. Step 6: Final answer
    x = 642.16

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.