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Finding the Third Proportional to 772.13 and 1,208.81

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Solution

The third proportional to 772.13 and 1,208.81 is: 1,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.13 : 1,208.81 = 1,208.81 : x
  2. Step 2: Convert to fraction form
    772.13/1,208.81 = 1,208.81/x
  3. Step 3: Cross multiply
    772.13x = 1,208.81 × 1,208.81
  4. Step 4: Simplify right side
    772.13x = 1,461,227.66
  5. Step 5: Solve for x
    x = 1,461,227.66/772.13
  6. Step 6: Final answer
    x = 1,892.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.