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Finding the Third Proportional to 754.31 and 1,646.58

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Solution

The third proportional to 754.31 and 1,646.58 is: 3,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.31 : 1,646.58 = 1,646.58 : x
  2. Step 2: Convert to fraction form
    754.31/1,646.58 = 1,646.58/x
  3. Step 3: Cross multiply
    754.31x = 1,646.58 × 1,646.58
  4. Step 4: Simplify right side
    754.31x = 2,711,219.52
  5. Step 5: Solve for x
    x = 2,711,219.52/754.31
  6. Step 6: Final answer
    x = 3,594.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.