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Finding the Third Proportional to 727.31 and 1,089.28

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Solution

The third proportional to 727.31 and 1,089.28 is: 1,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.31 : 1,089.28 = 1,089.28 : x
  2. Step 2: Convert to fraction form
    727.31/1,089.28 = 1,089.28/x
  3. Step 3: Cross multiply
    727.31x = 1,089.28 × 1,089.28
  4. Step 4: Simplify right side
    727.31x = 1,186,533.64
  5. Step 5: Solve for x
    x = 1,186,533.64/727.31
  6. Step 6: Final answer
    x = 1,631.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.