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Finding the Third Proportional to 42,372 and 91,407

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Solution

The third proportional to 42,372 and 91,407 is: 197,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,372 : 91,407 = 91,407 : x
  2. Step 2: Convert to fraction form
    42,372/91,407 = 91,407/x
  3. Step 3: Cross multiply
    42,372x = 91,407 × 91,407
  4. Step 4: Simplify right side
    42,372x = 8,355,239,649
  5. Step 5: Solve for x
    x = 8,355,239,649/42,372
  6. Step 6: Final answer
    x = 197,187.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.