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Finding the Third Proportional to 43,003 and 66,421

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Solution

The third proportional to 43,003 and 66,421 is: 102,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,003 : 66,421 = 66,421 : x
  2. Step 2: Convert to fraction form
    43,003/66,421 = 66,421/x
  3. Step 3: Cross multiply
    43,003x = 66,421 × 66,421
  4. Step 4: Simplify right side
    43,003x = 4,411,749,241
  5. Step 5: Solve for x
    x = 4,411,749,241/43,003
  6. Step 6: Final answer
    x = 102,591.66

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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.