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Finding the Third Proportional to 790.31 and 1,643.91

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Solution

The third proportional to 790.31 and 1,643.91 is: 3,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.31 : 1,643.91 = 1,643.91 : x
  2. Step 2: Convert to fraction form
    790.31/1,643.91 = 1,643.91/x
  3. Step 3: Cross multiply
    790.31x = 1,643.91 × 1,643.91
  4. Step 4: Simplify right side
    790.31x = 2,702,427.76
  5. Step 5: Solve for x
    x = 2,702,427.76/790.31
  6. Step 6: Final answer
    x = 3,419.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.