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Finding the Third Proportional to 1,723.31 and 3,784.13

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Solution

The third proportional to 1,723.31 and 3,784.13 is: 8,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.31 : 3,784.13 = 3,784.13 : x
  2. Step 2: Convert to fraction form
    1,723.31/3,784.13 = 3,784.13/x
  3. Step 3: Cross multiply
    1,723.31x = 3,784.13 × 3,784.13
  4. Step 4: Simplify right side
    1,723.31x = 14,319,602.02
  5. Step 5: Solve for x
    x = 14,319,602.02/1,723.31
  6. Step 6: Final answer
    x = 8,309.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.