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Finding the Third Proportional to 138,348 and 194,292

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Solution

The third proportional to 138,348 and 194,292 is: 272,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,348 : 194,292 = 194,292 : x
  2. Step 2: Convert to fraction form
    138,348/194,292 = 194,292/x
  3. Step 3: Cross multiply
    138,348x = 194,292 × 194,292
  4. Step 4: Simplify right side
    138,348x = 37,749,381,264
  5. Step 5: Solve for x
    x = 37,749,381,264/138,348
  6. Step 6: Final answer
    x = 272,858.16

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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.