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Finding the Third Proportional to 393.50 and 812.50

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Solution

The third proportional to 393.50 and 812.50 is: 1,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.50 : 812.50 = 812.50 : x
  2. Step 2: Convert to fraction form
    393.50/812.50 = 812.50/x
  3. Step 3: Cross multiply
    393.50x = 812.50 × 812.50
  4. Step 4: Simplify right side
    393.50x = 660,156.25
  5. Step 5: Solve for x
    x = 660,156.25/393.50
  6. Step 6: Final answer
    x = 1,677.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.