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Finding the Third Proportional to 137,738 and 209,355

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Solution

The third proportional to 137,738 and 209,355 is: 318,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,738 : 209,355 = 209,355 : x
  2. Step 2: Convert to fraction form
    137,738/209,355 = 209,355/x
  3. Step 3: Cross multiply
    137,738x = 209,355 × 209,355
  4. Step 4: Simplify right side
    137,738x = 43,829,516,025
  5. Step 5: Solve for x
    x = 43,829,516,025/137,738
  6. Step 6: Final answer
    x = 318,209.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.