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Finding the Third Proportional to 137,615 and 210,525

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Solution

The third proportional to 137,615 and 210,525 is: 322,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,615 : 210,525 = 210,525 : x
  2. Step 2: Convert to fraction form
    137,615/210,525 = 210,525/x
  3. Step 3: Cross multiply
    137,615x = 210,525 × 210,525
  4. Step 4: Simplify right side
    137,615x = 44,320,775,625
  5. Step 5: Solve for x
    x = 44,320,775,625/137,615
  6. Step 6: Final answer
    x = 322,063.55

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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.