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Finding the Third Proportional to 135,368 and 198,434

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Solution

The third proportional to 135,368 and 198,434 is: 290,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,368 : 198,434 = 198,434 : x
  2. Step 2: Convert to fraction form
    135,368/198,434 = 198,434/x
  3. Step 3: Cross multiply
    135,368x = 198,434 × 198,434
  4. Step 4: Simplify right side
    135,368x = 39,376,052,356
  5. Step 5: Solve for x
    x = 39,376,052,356/135,368
  6. Step 6: Final answer
    x = 290,881.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.