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Finding the Third Proportional to 42,315 and 91,925

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Solution

The third proportional to 42,315 and 91,925 is: 199,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,315 : 91,925 = 91,925 : x
  2. Step 2: Convert to fraction form
    42,315/91,925 = 91,925/x
  3. Step 3: Cross multiply
    42,315x = 91,925 × 91,925
  4. Step 4: Simplify right side
    42,315x = 8,450,205,625
  5. Step 5: Solve for x
    x = 8,450,205,625/42,315
  6. Step 6: Final answer
    x = 199,697.64

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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.