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Finding the Third Proportional to 136,523 and 206,693

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Solution

The third proportional to 136,523 and 206,693 is: 312,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,523 : 206,693 = 206,693 : x
  2. Step 2: Convert to fraction form
    136,523/206,693 = 206,693/x
  3. Step 3: Cross multiply
    136,523x = 206,693 × 206,693
  4. Step 4: Simplify right side
    136,523x = 42,721,996,249
  5. Step 5: Solve for x
    x = 42,721,996,249/136,523
  6. Step 6: Final answer
    x = 312,928.93

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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.