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Finding the Third Proportional to 137,775 and 210,616

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Solution

The third proportional to 137,775 and 210,616 is: 321,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,775 : 210,616 = 210,616 : x
  2. Step 2: Convert to fraction form
    137,775/210,616 = 210,616/x
  3. Step 3: Cross multiply
    137,775x = 210,616 × 210,616
  4. Step 4: Simplify right side
    137,775x = 44,359,099,456
  5. Step 5: Solve for x
    x = 44,359,099,456/137,775
  6. Step 6: Final answer
    x = 321,967.70

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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.