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Finding the Third Proportional to 137,579 and 205,736

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Solution

The third proportional to 137,579 and 205,736 is: 307,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,579 : 205,736 = 205,736 : x
  2. Step 2: Convert to fraction form
    137,579/205,736 = 205,736/x
  3. Step 3: Cross multiply
    137,579x = 205,736 × 205,736
  4. Step 4: Simplify right side
    137,579x = 42,327,301,696
  5. Step 5: Solve for x
    x = 42,327,301,696/137,579
  6. Step 6: Final answer
    x = 307,658.16

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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.