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Finding the Third Proportional to 709.63 and 1,087.19

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Solution

The third proportional to 709.63 and 1,087.19 is: 1,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.63 : 1,087.19 = 1,087.19 : x
  2. Step 2: Convert to fraction form
    709.63/1,087.19 = 1,087.19/x
  3. Step 3: Cross multiply
    709.63x = 1,087.19 × 1,087.19
  4. Step 4: Simplify right side
    709.63x = 1,181,976.66
  5. Step 5: Solve for x
    x = 1,181,976.66/709.63
  6. Step 6: Final answer
    x = 1,665.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.