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Finding the Third Proportional to 468.19 and 685.36

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Solution

The third proportional to 468.19 and 685.36 is: 1,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.19 : 685.36 = 685.36 : x
  2. Step 2: Convert to fraction form
    468.19/685.36 = 685.36/x
  3. Step 3: Cross multiply
    468.19x = 685.36 × 685.36
  4. Step 4: Simplify right side
    468.19x = 469,717.47
  5. Step 5: Solve for x
    x = 469,717.47/468.19
  6. Step 6: Final answer
    x = 1,003.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.