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Finding the Third Proportional to 39,974 and 56,948

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Solution

The third proportional to 39,974 and 56,948 is: 81,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,974 : 56,948 = 56,948 : x
  2. Step 2: Convert to fraction form
    39,974/56,948 = 56,948/x
  3. Step 3: Cross multiply
    39,974x = 56,948 × 56,948
  4. Step 4: Simplify right side
    39,974x = 3,243,074,704
  5. Step 5: Solve for x
    x = 3,243,074,704/39,974
  6. Step 6: Final answer
    x = 81,129.60

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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.