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Finding the Third Proportional to 697.78 and 812.53

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Solution

The third proportional to 697.78 and 812.53 is: 946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.78 : 812.53 = 812.53 : x
  2. Step 2: Convert to fraction form
    697.78/812.53 = 812.53/x
  3. Step 3: Cross multiply
    697.78x = 812.53 × 812.53
  4. Step 4: Simplify right side
    697.78x = 660,207.03
  5. Step 5: Solve for x
    x = 660,207.03/697.78
  6. Step 6: Final answer
    x = 946.15

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.