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Finding the Third Proportional to 135,098 and 197,436

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Solution

The third proportional to 135,098 and 197,436 is: 288,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,098 : 197,436 = 197,436 : x
  2. Step 2: Convert to fraction form
    135,098/197,436 = 197,436/x
  3. Step 3: Cross multiply
    135,098x = 197,436 × 197,436
  4. Step 4: Simplify right side
    135,098x = 38,980,974,096
  5. Step 5: Solve for x
    x = 38,980,974,096/135,098
  6. Step 6: Final answer
    x = 288,538.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.