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Finding the Third Proportional to 565.75 and 842.38

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Solution

The third proportional to 565.75 and 842.38 is: 1,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.75 : 842.38 = 842.38 : x
  2. Step 2: Convert to fraction form
    565.75/842.38 = 842.38/x
  3. Step 3: Cross multiply
    565.75x = 842.38 × 842.38
  4. Step 4: Simplify right side
    565.75x = 709,595.64
  5. Step 5: Solve for x
    x = 709,595.64/565.75
  6. Step 6: Final answer
    x = 1,254.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.