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Finding the Third Proportional to 785.74 and 1,645.52

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Solution

The third proportional to 785.74 and 1,645.52 is: 3,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.74 : 1,645.52 = 1,645.52 : x
  2. Step 2: Convert to fraction form
    785.74/1,645.52 = 1,645.52/x
  3. Step 3: Cross multiply
    785.74x = 1,645.52 × 1,645.52
  4. Step 4: Simplify right side
    785.74x = 2,707,747.38
  5. Step 5: Solve for x
    x = 2,707,747.38/785.74
  6. Step 6: Final answer
    x = 3,446.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.