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Finding the Third Proportional to 40,486 and 56,970

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Solution

The third proportional to 40,486 and 56,970 is: 80,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,486 : 56,970 = 56,970 : x
  2. Step 2: Convert to fraction form
    40,486/56,970 = 56,970/x
  3. Step 3: Cross multiply
    40,486x = 56,970 × 56,970
  4. Step 4: Simplify right side
    40,486x = 3,245,580,900
  5. Step 5: Solve for x
    x = 3,245,580,900/40,486
  6. Step 6: Final answer
    x = 80,165.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.