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Finding the Third Proportional to 621.19 and 712.31

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Solution

The third proportional to 621.19 and 712.31 is: 816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.19 : 712.31 = 712.31 : x
  2. Step 2: Convert to fraction form
    621.19/712.31 = 712.31/x
  3. Step 3: Cross multiply
    621.19x = 712.31 × 712.31
  4. Step 4: Simplify right side
    621.19x = 507,389.10
  5. Step 5: Solve for x
    x = 507,389.10/621.19
  6. Step 6: Final answer
    x = 816.81

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.