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Finding the Third Proportional to 136,098 and 193,560

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Solution

The third proportional to 136,098 and 193,560 is: 275,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,098 : 193,560 = 193,560 : x
  2. Step 2: Convert to fraction form
    136,098/193,560 = 193,560/x
  3. Step 3: Cross multiply
    136,098x = 193,560 × 193,560
  4. Step 4: Simplify right side
    136,098x = 37,465,473,600
  5. Step 5: Solve for x
    x = 37,465,473,600/136,098
  6. Step 6: Final answer
    x = 275,283.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.