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Finding the Third Proportional to 750.09 and 815.06

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Solution

The third proportional to 750.09 and 815.06 is: 885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.09 : 815.06 = 815.06 : x
  2. Step 2: Convert to fraction form
    750.09/815.06 = 815.06/x
  3. Step 3: Cross multiply
    750.09x = 815.06 × 815.06
  4. Step 4: Simplify right side
    750.09x = 664,326.88
  5. Step 5: Solve for x
    x = 664,326.88/750.09
  6. Step 6: Final answer
    x = 885.66

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.