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Finding the Third Proportional to 788.19 and 1,866.56

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Solution

The third proportional to 788.19 and 1,866.56 is: 4,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.19 : 1,866.56 = 1,866.56 : x
  2. Step 2: Convert to fraction form
    788.19/1,866.56 = 1,866.56/x
  3. Step 3: Cross multiply
    788.19x = 1,866.56 × 1,866.56
  4. Step 4: Simplify right side
    788.19x = 3,484,055.57
  5. Step 5: Solve for x
    x = 3,484,055.57/788.19
  6. Step 6: Final answer
    x = 4,420.34

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.