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Finding the Third Proportional to 50,870 and 77,817

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Solution

The third proportional to 50,870 and 77,817 is: 119,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,870 : 77,817 = 77,817 : x
  2. Step 2: Convert to fraction form
    50,870/77,817 = 77,817/x
  3. Step 3: Cross multiply
    50,870x = 77,817 × 77,817
  4. Step 4: Simplify right side
    50,870x = 6,055,485,489
  5. Step 5: Solve for x
    x = 6,055,485,489/50,870
  6. Step 6: Final answer
    x = 119,038.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.