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Finding the Third Proportional to 99,278 and 138,873

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Solution

The third proportional to 99,278 and 138,873 is: 194,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,278 : 138,873 = 138,873 : x
  2. Step 2: Convert to fraction form
    99,278/138,873 = 138,873/x
  3. Step 3: Cross multiply
    99,278x = 138,873 × 138,873
  4. Step 4: Simplify right side
    99,278x = 19,285,710,129
  5. Step 5: Solve for x
    x = 19,285,710,129/99,278
  6. Step 6: Final answer
    x = 194,259.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.