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Finding the Third Proportional to 77,711 and 116,855

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Solution

The third proportional to 77,711 and 116,855 is: 175,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,711 : 116,855 = 116,855 : x
  2. Step 2: Convert to fraction form
    77,711/116,855 = 116,855/x
  3. Step 3: Cross multiply
    77,711x = 116,855 × 116,855
  4. Step 4: Simplify right side
    77,711x = 13,655,091,025
  5. Step 5: Solve for x
    x = 13,655,091,025/77,711
  6. Step 6: Final answer
    x = 175,716.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.