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Finding the Third Proportional to 136,406 and 206,715

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Solution

The third proportional to 136,406 and 206,715 is: 313,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,406 : 206,715 = 206,715 : x
  2. Step 2: Convert to fraction form
    136,406/206,715 = 206,715/x
  3. Step 3: Cross multiply
    136,406x = 206,715 × 206,715
  4. Step 4: Simplify right side
    136,406x = 42,731,091,225
  5. Step 5: Solve for x
    x = 42,731,091,225/136,406
  6. Step 6: Final answer
    x = 313,264.01

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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.