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Finding the Third Proportional to 568.69 and 811.90

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Solution

The third proportional to 568.69 and 811.90 is: 1,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.69 : 811.90 = 811.90 : x
  2. Step 2: Convert to fraction form
    568.69/811.90 = 811.90/x
  3. Step 3: Cross multiply
    568.69x = 811.90 × 811.90
  4. Step 4: Simplify right side
    568.69x = 659,179.07
  5. Step 5: Solve for x
    x = 659,179.07/568.69
  6. Step 6: Final answer
    x = 1,159.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.