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Finding the Third Proportional to 135,689 and 207,057

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Solution

The third proportional to 135,689 and 207,057 is: 315,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,689 : 207,057 = 207,057 : x
  2. Step 2: Convert to fraction form
    135,689/207,057 = 207,057/x
  3. Step 3: Cross multiply
    135,689x = 207,057 × 207,057
  4. Step 4: Simplify right side
    135,689x = 42,872,601,249
  5. Step 5: Solve for x
    x = 42,872,601,249/135,689
  6. Step 6: Final answer
    x = 315,962.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.