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Finding the Third Proportional to 788.48 and 1,857.09

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Solution

The third proportional to 788.48 and 1,857.09 is: 4,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.48 : 1,857.09 = 1,857.09 : x
  2. Step 2: Convert to fraction form
    788.48/1,857.09 = 1,857.09/x
  3. Step 3: Cross multiply
    788.48x = 1,857.09 × 1,857.09
  4. Step 4: Simplify right side
    788.48x = 3,448,797.20
  5. Step 5: Solve for x
    x = 3,448,797.20/788.48
  6. Step 6: Final answer
    x = 4,373.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.