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Finding the Third Proportional to 785.04 and 1,650.87

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Solution

The third proportional to 785.04 and 1,650.87 is: 3,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.04 : 1,650.87 = 1,650.87 : x
  2. Step 2: Convert to fraction form
    785.04/1,650.87 = 1,650.87/x
  3. Step 3: Cross multiply
    785.04x = 1,650.87 × 1,650.87
  4. Step 4: Simplify right side
    785.04x = 2,725,362.47
  5. Step 5: Solve for x
    x = 2,725,362.47/785.04
  6. Step 6: Final answer
    x = 3,471.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.