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Finding the Third Proportional to 37,129 and 77,903

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Solution

The third proportional to 37,129 and 77,903 is: 163,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129 : 77,903 = 77,903 : x
  2. Step 2: Convert to fraction form
    37,129/77,903 = 77,903/x
  3. Step 3: Cross multiply
    37,129x = 77,903 × 77,903
  4. Step 4: Simplify right side
    37,129x = 6,068,877,409
  5. Step 5: Solve for x
    x = 6,068,877,409/37,129
  6. Step 6: Final answer
    x = 163,453.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.