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Finding the Third Proportional to 136,769 and 207,041

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Solution

The third proportional to 136,769 and 207,041 is: 313,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,769 : 207,041 = 207,041 : x
  2. Step 2: Convert to fraction form
    136,769/207,041 = 207,041/x
  3. Step 3: Cross multiply
    136,769x = 207,041 × 207,041
  4. Step 4: Simplify right side
    136,769x = 42,865,975,681
  5. Step 5: Solve for x
    x = 42,865,975,681/136,769
  6. Step 6: Final answer
    x = 313,418.80

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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.