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Finding the Third Proportional to 137,320 and 207,917

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Solution

The third proportional to 137,320 and 207,917 is: 314,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,320 : 207,917 = 207,917 : x
  2. Step 2: Convert to fraction form
    137,320/207,917 = 207,917/x
  3. Step 3: Cross multiply
    137,320x = 207,917 × 207,917
  4. Step 4: Simplify right side
    137,320x = 43,229,478,889
  5. Step 5: Solve for x
    x = 43,229,478,889/137,320
  6. Step 6: Final answer
    x = 314,808.32

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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.