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Finding the Third Proportional to 135,377 and 198,447

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Solution

The third proportional to 135,377 and 198,447 is: 290,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,377 : 198,447 = 198,447 : x
  2. Step 2: Convert to fraction form
    135,377/198,447 = 198,447/x
  3. Step 3: Cross multiply
    135,377x = 198,447 × 198,447
  4. Step 4: Simplify right side
    135,377x = 39,381,211,809
  5. Step 5: Solve for x
    x = 39,381,211,809/135,377
  6. Step 6: Final answer
    x = 290,900.31

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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.