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Finding the Third Proportional to 788.63 and 1,680.56

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Solution

The third proportional to 788.63 and 1,680.56 is: 3,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.63 : 1,680.56 = 1,680.56 : x
  2. Step 2: Convert to fraction form
    788.63/1,680.56 = 1,680.56/x
  3. Step 3: Cross multiply
    788.63x = 1,680.56 × 1,680.56
  4. Step 4: Simplify right side
    788.63x = 2,824,290.32
  5. Step 5: Solve for x
    x = 2,824,290.32/788.63
  6. Step 6: Final answer
    x = 3,581.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.