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Finding the Third Proportional to 136,518 and 206,685

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Solution

The third proportional to 136,518 and 206,685 is: 312,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,518 : 206,685 = 206,685 : x
  2. Step 2: Convert to fraction form
    136,518/206,685 = 206,685/x
  3. Step 3: Cross multiply
    136,518x = 206,685 × 206,685
  4. Step 4: Simplify right side
    136,518x = 42,718,689,225
  5. Step 5: Solve for x
    x = 42,718,689,225/136,518
  6. Step 6: Final answer
    x = 312,916.17

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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.