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Finding the Third Proportional to 108,050 and 224,764

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Solution

The third proportional to 108,050 and 224,764 is: 467,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,050 : 224,764 = 224,764 : x
  2. Step 2: Convert to fraction form
    108,050/224,764 = 224,764/x
  3. Step 3: Cross multiply
    108,050x = 224,764 × 224,764
  4. Step 4: Simplify right side
    108,050x = 50,518,855,696
  5. Step 5: Solve for x
    x = 50,518,855,696/108,050
  6. Step 6: Final answer
    x = 467,550.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.