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Finding the Third Proportional to 136,532 and 206,706

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Solution

The third proportional to 136,532 and 206,706 is: 312,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,532 : 206,706 = 206,706 : x
  2. Step 2: Convert to fraction form
    136,532/206,706 = 206,706/x
  3. Step 3: Cross multiply
    136,532x = 206,706 × 206,706
  4. Step 4: Simplify right side
    136,532x = 42,727,370,436
  5. Step 5: Solve for x
    x = 42,727,370,436/136,532
  6. Step 6: Final answer
    x = 312,947.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.