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Finding the Third Proportional to 136,767 and 207,038

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Solution

The third proportional to 136,767 and 207,038 is: 313,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,767 : 207,038 = 207,038 : x
  2. Step 2: Convert to fraction form
    136,767/207,038 = 207,038/x
  3. Step 3: Cross multiply
    136,767x = 207,038 × 207,038
  4. Step 4: Simplify right side
    136,767x = 42,864,733,444
  5. Step 5: Solve for x
    x = 42,864,733,444/136,767
  6. Step 6: Final answer
    x = 313,414.30

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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.