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Finding the Third Proportional to 523.49 and 812.06

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Solution

The third proportional to 523.49 and 812.06 is: 1,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.49 : 812.06 = 812.06 : x
  2. Step 2: Convert to fraction form
    523.49/812.06 = 812.06/x
  3. Step 3: Cross multiply
    523.49x = 812.06 × 812.06
  4. Step 4: Simplify right side
    523.49x = 659,435.99
  5. Step 5: Solve for x
    x = 659,435.99/523.49
  6. Step 6: Final answer
    x = 1,259.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.