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Finding the Third Proportional to 137,059 and 205,588

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Solution

The third proportional to 137,059 and 205,588 is: 308,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,059 : 205,588 = 205,588 : x
  2. Step 2: Convert to fraction form
    137,059/205,588 = 205,588/x
  3. Step 3: Cross multiply
    137,059x = 205,588 × 205,588
  4. Step 4: Simplify right side
    137,059x = 42,266,425,744
  5. Step 5: Solve for x
    x = 42,266,425,744/137,059
  6. Step 6: Final answer
    x = 308,381.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.