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Finding the Third Proportional to 31,903 and 66,430

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Solution

The third proportional to 31,903 and 66,430 is: 138,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903 : 66,430 = 66,430 : x
  2. Step 2: Convert to fraction form
    31,903/66,430 = 66,430/x
  3. Step 3: Cross multiply
    31,903x = 66,430 × 66,430
  4. Step 4: Simplify right side
    31,903x = 4,412,944,900
  5. Step 5: Solve for x
    x = 4,412,944,900/31,903
  6. Step 6: Final answer
    x = 138,323.82

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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.