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Finding the Third Proportional to 42,391 and 91,343

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Solution

The third proportional to 42,391 and 91,343 is: 196,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,391 : 91,343 = 91,343 : x
  2. Step 2: Convert to fraction form
    42,391/91,343 = 91,343/x
  3. Step 3: Cross multiply
    42,391x = 91,343 × 91,343
  4. Step 4: Simplify right side
    42,391x = 8,343,543,649
  5. Step 5: Solve for x
    x = 8,343,543,649/42,391
  6. Step 6: Final answer
    x = 196,823.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.