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Finding the Third Proportional to 42,431 and 91,420

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Solution

The third proportional to 42,431 and 91,420 is: 196,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,431 : 91,420 = 91,420 : x
  2. Step 2: Convert to fraction form
    42,431/91,420 = 91,420/x
  3. Step 3: Cross multiply
    42,431x = 91,420 × 91,420
  4. Step 4: Simplify right side
    42,431x = 8,357,616,400
  5. Step 5: Solve for x
    x = 8,357,616,400/42,431
  6. Step 6: Final answer
    x = 196,969.58

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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.