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Finding the Third Proportional to 136,745 and 207,003

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Solution

The third proportional to 136,745 and 207,003 is: 313,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,745 : 207,003 = 207,003 : x
  2. Step 2: Convert to fraction form
    136,745/207,003 = 207,003/x
  3. Step 3: Cross multiply
    136,745x = 207,003 × 207,003
  4. Step 4: Simplify right side
    136,745x = 42,850,242,009
  5. Step 5: Solve for x
    x = 42,850,242,009/136,745
  6. Step 6: Final answer
    x = 313,358.75

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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.