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Finding the Third Proportional to 1,691.51 and 2,921.70

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Solution

The third proportional to 1,691.51 and 2,921.70 is: 5,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.51 : 2,921.70 = 2,921.70 : x
  2. Step 2: Convert to fraction form
    1,691.51/2,921.70 = 2,921.70/x
  3. Step 3: Cross multiply
    1,691.51x = 2,921.70 × 2,921.70
  4. Step 4: Simplify right side
    1,691.51x = 8,536,303.50
  5. Step 5: Solve for x
    x = 8,536,303.50/1,691.51
  6. Step 6: Final answer
    x = 5,046.56

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.