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Finding the Third Proportional to 136,616 and 207,692

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Solution

The third proportional to 136,616 and 207,692 is: 315,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,616 : 207,692 = 207,692 : x
  2. Step 2: Convert to fraction form
    136,616/207,692 = 207,692/x
  3. Step 3: Cross multiply
    136,616x = 207,692 × 207,692
  4. Step 4: Simplify right side
    136,616x = 43,135,966,864
  5. Step 5: Solve for x
    x = 43,135,966,864/136,616
  6. Step 6: Final answer
    x = 315,746.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.