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Finding the Third Proportional to 722.56 and 1,089.06

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Solution

The third proportional to 722.56 and 1,089.06 is: 1,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.56 : 1,089.06 = 1,089.06 : x
  2. Step 2: Convert to fraction form
    722.56/1,089.06 = 1,089.06/x
  3. Step 3: Cross multiply
    722.56x = 1,089.06 × 1,089.06
  4. Step 4: Simplify right side
    722.56x = 1,186,057.13
  5. Step 5: Solve for x
    x = 1,186,057.13/722.56
  6. Step 6: Final answer
    x = 1,641.46

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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.