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Finding the Third Proportional to 102,720 and 224,256

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Solution

The third proportional to 102,720 and 224,256 is: 489,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,720 : 224,256 = 224,256 : x
  2. Step 2: Convert to fraction form
    102,720/224,256 = 224,256/x
  3. Step 3: Cross multiply
    102,720x = 224,256 × 224,256
  4. Step 4: Simplify right side
    102,720x = 50,290,753,536
  5. Step 5: Solve for x
    x = 50,290,753,536/102,720
  6. Step 6: Final answer
    x = 489,590.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.