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Finding the Third Proportional to 565.21 and 864.07

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Solution

The third proportional to 565.21 and 864.07 is: 1,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.21 : 864.07 = 864.07 : x
  2. Step 2: Convert to fraction form
    565.21/864.07 = 864.07/x
  3. Step 3: Cross multiply
    565.21x = 864.07 × 864.07
  4. Step 4: Simplify right side
    565.21x = 746,617.50
  5. Step 5: Solve for x
    x = 746,617.50/565.21
  6. Step 6: Final answer
    x = 1,320.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.