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Finding the Third Proportional to 568.75 and 783.25

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Solution

The third proportional to 568.75 and 783.25 is: 1,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.75 : 783.25 = 783.25 : x
  2. Step 2: Convert to fraction form
    568.75/783.25 = 783.25/x
  3. Step 3: Cross multiply
    568.75x = 783.25 × 783.25
  4. Step 4: Simplify right side
    568.75x = 613,480.56
  5. Step 5: Solve for x
    x = 613,480.56/568.75
  6. Step 6: Final answer
    x = 1,078.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.