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Finding the Third Proportional to 39,674 and 56,403

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Solution

The third proportional to 39,674 and 56,403 is: 80,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,674 : 56,403 = 56,403 : x
  2. Step 2: Convert to fraction form
    39,674/56,403 = 56,403/x
  3. Step 3: Cross multiply
    39,674x = 56,403 × 56,403
  4. Step 4: Simplify right side
    39,674x = 3,181,298,409
  5. Step 5: Solve for x
    x = 3,181,298,409/39,674
  6. Step 6: Final answer
    x = 80,185.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.