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Finding the Third Proportional to 85,443 and 131,511

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Solution

The third proportional to 85,443 and 131,511 is: 202,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,443 : 131,511 = 131,511 : x
  2. Step 2: Convert to fraction form
    85,443/131,511 = 131,511/x
  3. Step 3: Cross multiply
    85,443x = 131,511 × 131,511
  4. Step 4: Simplify right side
    85,443x = 17,295,143,121
  5. Step 5: Solve for x
    x = 17,295,143,121/85,443
  6. Step 6: Final answer
    x = 202,417.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.