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Finding the Third Proportional to 761.30 and 1,640.11

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Solution

The third proportional to 761.30 and 1,640.11 is: 3,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.30 : 1,640.11 = 1,640.11 : x
  2. Step 2: Convert to fraction form
    761.30/1,640.11 = 1,640.11/x
  3. Step 3: Cross multiply
    761.30x = 1,640.11 × 1,640.11
  4. Step 4: Simplify right side
    761.30x = 2,689,958.76
  5. Step 5: Solve for x
    x = 2,689,958.76/761.30
  6. Step 6: Final answer
    x = 3,533.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.