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Finding the Third Proportional to 808.38 and 1,403.18

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Solution

The third proportional to 808.38 and 1,403.18 is: 2,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.38 : 1,403.18 = 1,403.18 : x
  2. Step 2: Convert to fraction form
    808.38/1,403.18 = 1,403.18/x
  3. Step 3: Cross multiply
    808.38x = 1,403.18 × 1,403.18
  4. Step 4: Simplify right side
    808.38x = 1,968,921.46
  5. Step 5: Solve for x
    x = 1,968,921.46/808.38
  6. Step 6: Final answer
    x = 2,435.64

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.