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Finding the Third Proportional to 40,429 and 87,925

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Solution

The third proportional to 40,429 and 87,925 is: 191,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,429 : 87,925 = 87,925 : x
  2. Step 2: Convert to fraction form
    40,429/87,925 = 87,925/x
  3. Step 3: Cross multiply
    40,429x = 87,925 × 87,925
  4. Step 4: Simplify right side
    40,429x = 7,730,805,625
  5. Step 5: Solve for x
    x = 7,730,805,625/40,429
  6. Step 6: Final answer
    x = 191,219.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.