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Finding the Third Proportional to 75,781 and 118,883

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Solution

The third proportional to 75,781 and 118,883 is: 186,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,781 : 118,883 = 118,883 : x
  2. Step 2: Convert to fraction form
    75,781/118,883 = 118,883/x
  3. Step 3: Cross multiply
    75,781x = 118,883 × 118,883
  4. Step 4: Simplify right side
    75,781x = 14,133,167,689
  5. Step 5: Solve for x
    x = 14,133,167,689/75,781
  6. Step 6: Final answer
    x = 186,500.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.