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Finding the Third Proportional to 136,494 and 210,573

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Solution

The third proportional to 136,494 and 210,573 is: 324,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,494 : 210,573 = 210,573 : x
  2. Step 2: Convert to fraction form
    136,494/210,573 = 210,573/x
  3. Step 3: Cross multiply
    136,494x = 210,573 × 210,573
  4. Step 4: Simplify right side
    136,494x = 44,340,988,329
  5. Step 5: Solve for x
    x = 44,340,988,329/136,494
  6. Step 6: Final answer
    x = 324,856.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.