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Finding the Third Proportional to 788.09 and 1,140.49

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Solution

The third proportional to 788.09 and 1,140.49 is: 1,650.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.09 : 1,140.49 = 1,140.49 : x
  2. Step 2: Convert to fraction form
    788.09/1,140.49 = 1,140.49/x
  3. Step 3: Cross multiply
    788.09x = 1,140.49 × 1,140.49
  4. Step 4: Simplify right side
    788.09x = 1,300,709.06
  5. Step 5: Solve for x
    x = 1,300,709.06/788.09
  6. Step 6: Final answer
    x = 1,650.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.