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Finding the Third Proportional to 808.81 and 1,219.63

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Solution

The third proportional to 808.81 and 1,219.63 is: 1,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.81 : 1,219.63 = 1,219.63 : x
  2. Step 2: Convert to fraction form
    808.81/1,219.63 = 1,219.63/x
  3. Step 3: Cross multiply
    808.81x = 1,219.63 × 1,219.63
  4. Step 4: Simplify right side
    808.81x = 1,487,485.14
  5. Step 5: Solve for x
    x = 1,487,485.14/808.81
  6. Step 6: Final answer
    x = 1,839.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.