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Finding the Third Proportional to 42,873 and 91,899

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Solution

The third proportional to 42,873 and 91,899 is: 196,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,873 : 91,899 = 91,899 : x
  2. Step 2: Convert to fraction form
    42,873/91,899 = 91,899/x
  3. Step 3: Cross multiply
    42,873x = 91,899 × 91,899
  4. Step 4: Simplify right side
    42,873x = 8,445,426,201
  5. Step 5: Solve for x
    x = 8,445,426,201/42,873
  6. Step 6: Final answer
    x = 196,987.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.