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Finding the Third Proportional to 137,934.75 and 210,911.25

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Solution

The third proportional to 137,934.75 and 210,911.25 is: 322,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,934.75 : 210,911.25 = 210,911.25 : x
  2. Step 2: Convert to fraction form
    137,934.75/210,911.25 = 210,911.25/x
  3. Step 3: Cross multiply
    137,934.75x = 210,911.25 × 210,911.25
  4. Step 4: Simplify right side
    137,934.75x = 44,483,555,376.56
  5. Step 5: Solve for x
    x = 44,483,555,376.56/137,934.75
  6. Step 6: Final answer
    x = 322,497.09

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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.