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Finding the Third Proportional to 138,152.62 and 210,919.49

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Solution

The third proportional to 138,152.62 and 210,919.49 is: 322,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,152.62 : 210,919.49 = 210,919.49 : x
  2. Step 2: Convert to fraction form
    138,152.62/210,919.49 = 210,919.49/x
  3. Step 3: Cross multiply
    138,152.62x = 210,919.49 × 210,919.49
  4. Step 4: Simplify right side
    138,152.62x = 44,487,031,772.68
  5. Step 5: Solve for x
    x = 44,487,031,772.68/138,152.62
  6. Step 6: Final answer
    x = 322,013.67

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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.