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Finding the Third Proportional to 108,520 and 223,536

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Solution

The third proportional to 108,520 and 223,536 is: 460,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,520 : 223,536 = 223,536 : x
  2. Step 2: Convert to fraction form
    108,520/223,536 = 223,536/x
  3. Step 3: Cross multiply
    108,520x = 223,536 × 223,536
  4. Step 4: Simplify right side
    108,520x = 49,968,343,296
  5. Step 5: Solve for x
    x = 49,968,343,296/108,520
  6. Step 6: Final answer
    x = 460,452.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.