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Finding the Third Proportional to 807.89 and 1,227.66

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Solution

The third proportional to 807.89 and 1,227.66 is: 1,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.89 : 1,227.66 = 1,227.66 : x
  2. Step 2: Convert to fraction form
    807.89/1,227.66 = 1,227.66/x
  3. Step 3: Cross multiply
    807.89x = 1,227.66 × 1,227.66
  4. Step 4: Simplify right side
    807.89x = 1,507,139.87
  5. Step 5: Solve for x
    x = 1,507,139.87/807.89
  6. Step 6: Final answer
    x = 1,865.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.