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Finding the Third Proportional to 75,786 and 118,890

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Solution

The third proportional to 75,786 and 118,890 is: 186,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,786 : 118,890 = 118,890 : x
  2. Step 2: Convert to fraction form
    75,786/118,890 = 118,890/x
  3. Step 3: Cross multiply
    75,786x = 118,890 × 118,890
  4. Step 4: Simplify right side
    75,786x = 14,134,832,100
  5. Step 5: Solve for x
    x = 14,134,832,100/75,786
  6. Step 6: Final answer
    x = 186,509.81

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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.