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Finding the Third Proportional to 42,447 and 91,617

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Solution

The third proportional to 42,447 and 91,617 is: 197,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,447 : 91,617 = 91,617 : x
  2. Step 2: Convert to fraction form
    42,447/91,617 = 91,617/x
  3. Step 3: Cross multiply
    42,447x = 91,617 × 91,617
  4. Step 4: Simplify right side
    42,447x = 8,393,674,689
  5. Step 5: Solve for x
    x = 8,393,674,689/42,447
  6. Step 6: Final answer
    x = 197,744.83

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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.