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Finding the Third Proportional to 214,258.50 and 284,423.06

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Solution

The third proportional to 214,258.50 and 284,423.06 is: 377,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,258.50 : 284,423.06 = 284,423.06 : x
  2. Step 2: Convert to fraction form
    214,258.50/284,423.06 = 284,423.06/x
  3. Step 3: Cross multiply
    214,258.50x = 284,423.06 × 284,423.06
  4. Step 4: Simplify right side
    214,258.50x = 80,896,478,481.88
  5. Step 5: Solve for x
    x = 80,896,478,481.88/214,258.50
  6. Step 6: Final answer
    x = 377,564.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.