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Finding the Third Proportional to 136,324 and 206,942

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Solution

The third proportional to 136,324 and 206,942 is: 314,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,324 : 206,942 = 206,942 : x
  2. Step 2: Convert to fraction form
    136,324/206,942 = 206,942/x
  3. Step 3: Cross multiply
    136,324x = 206,942 × 206,942
  4. Step 4: Simplify right side
    136,324x = 42,824,991,364
  5. Step 5: Solve for x
    x = 42,824,991,364/136,324
  6. Step 6: Final answer
    x = 314,141.25

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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.