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Finding the Third Proportional to 788.25 and 1,223.63

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Solution

The third proportional to 788.25 and 1,223.63 is: 1,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.25 : 1,223.63 = 1,223.63 : x
  2. Step 2: Convert to fraction form
    788.25/1,223.63 = 1,223.63/x
  3. Step 3: Cross multiply
    788.25x = 1,223.63 × 1,223.63
  4. Step 4: Simplify right side
    788.25x = 1,497,258.14
  5. Step 5: Solve for x
    x = 1,497,258.14/788.25
  6. Step 6: Final answer
    x = 1,899.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.