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Finding the Third Proportional to 136,749 and 207,012

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Solution

The third proportional to 136,749 and 207,012 is: 313,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,749 : 207,012 = 207,012 : x
  2. Step 2: Convert to fraction form
    136,749/207,012 = 207,012/x
  3. Step 3: Cross multiply
    136,749x = 207,012 × 207,012
  4. Step 4: Simplify right side
    136,749x = 42,853,968,144
  5. Step 5: Solve for x
    x = 42,853,968,144/136,749
  6. Step 6: Final answer
    x = 313,376.83

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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.