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Finding the Third Proportional to 75,003 and 109,543

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Solution

The third proportional to 75,003 and 109,543 is: 159,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,003 : 109,543 = 109,543 : x
  2. Step 2: Convert to fraction form
    75,003/109,543 = 109,543/x
  3. Step 3: Cross multiply
    75,003x = 109,543 × 109,543
  4. Step 4: Simplify right side
    75,003x = 11,999,668,849
  5. Step 5: Solve for x
    x = 11,999,668,849/75,003
  6. Step 6: Final answer
    x = 159,989.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.