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Finding the Third Proportional to 42,120 and 91,170

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Solution

The third proportional to 42,120 and 91,170 is: 197,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,120 : 91,170 = 91,170 : x
  2. Step 2: Convert to fraction form
    42,120/91,170 = 91,170/x
  3. Step 3: Cross multiply
    42,120x = 91,170 × 91,170
  4. Step 4: Simplify right side
    42,120x = 8,311,968,900
  5. Step 5: Solve for x
    x = 8,311,968,900/42,120
  6. Step 6: Final answer
    x = 197,340.19

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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.