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Finding the Third Proportional to 136,820 and 197,979

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Solution

The third proportional to 136,820 and 197,979 is: 286,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,820 : 197,979 = 197,979 : x
  2. Step 2: Convert to fraction form
    136,820/197,979 = 197,979/x
  3. Step 3: Cross multiply
    136,820x = 197,979 × 197,979
  4. Step 4: Simplify right side
    136,820x = 39,195,684,441
  5. Step 5: Solve for x
    x = 39,195,684,441/136,820
  6. Step 6: Final answer
    x = 286,476.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.