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Finding the Third Proportional to 136,570 and 206,772

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Solution

The third proportional to 136,570 and 206,772 is: 313,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,570 : 206,772 = 206,772 : x
  2. Step 2: Convert to fraction form
    136,570/206,772 = 206,772/x
  3. Step 3: Cross multiply
    136,570x = 206,772 × 206,772
  4. Step 4: Simplify right side
    136,570x = 42,754,659,984
  5. Step 5: Solve for x
    x = 42,754,659,984/136,570
  6. Step 6: Final answer
    x = 313,060.41

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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.