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Finding the Third Proportional to 261.67 and 568.74

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Solution

The third proportional to 261.67 and 568.74 is: 1,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.67 : 568.74 = 568.74 : x
  2. Step 2: Convert to fraction form
    261.67/568.74 = 568.74/x
  3. Step 3: Cross multiply
    261.67x = 568.74 × 568.74
  4. Step 4: Simplify right side
    261.67x = 323,465.45
  5. Step 5: Solve for x
    x = 323,465.45/261.67
  6. Step 6: Final answer
    x = 1,236.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.