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Finding the Third Proportional to 105,508 and 224,853

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Solution

The third proportional to 105,508 and 224,853 is: 479,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,508 : 224,853 = 224,853 : x
  2. Step 2: Convert to fraction form
    105,508/224,853 = 224,853/x
  3. Step 3: Cross multiply
    105,508x = 224,853 × 224,853
  4. Step 4: Simplify right side
    105,508x = 50,558,871,609
  5. Step 5: Solve for x
    x = 50,558,871,609/105,508
  6. Step 6: Final answer
    x = 479,194.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.