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Finding the Third Proportional to 368.88 and 808.56

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Solution

The third proportional to 368.88 and 808.56 is: 1,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.88 : 808.56 = 808.56 : x
  2. Step 2: Convert to fraction form
    368.88/808.56 = 808.56/x
  3. Step 3: Cross multiply
    368.88x = 808.56 × 808.56
  4. Step 4: Simplify right side
    368.88x = 653,773.32
  5. Step 5: Solve for x
    x = 653,773.32/368.88
  6. Step 6: Final answer
    x = 1,772.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.