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Finding the Third Proportional to 788.75 and 1,466.50

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Solution

The third proportional to 788.75 and 1,466.50 is: 2,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.75 : 1,466.50 = 1,466.50 : x
  2. Step 2: Convert to fraction form
    788.75/1,466.50 = 1,466.50/x
  3. Step 3: Cross multiply
    788.75x = 1,466.50 × 1,466.50
  4. Step 4: Simplify right side
    788.75x = 2,150,622.25
  5. Step 5: Solve for x
    x = 2,150,622.25/788.75
  6. Step 6: Final answer
    x = 2,726.62

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.