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Finding the Third Proportional to 75,686 and 114,585

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Solution

The third proportional to 75,686 and 114,585 is: 173,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,686 : 114,585 = 114,585 : x
  2. Step 2: Convert to fraction form
    75,686/114,585 = 114,585/x
  3. Step 3: Cross multiply
    75,686x = 114,585 × 114,585
  4. Step 4: Simplify right side
    75,686x = 13,129,722,225
  5. Step 5: Solve for x
    x = 13,129,722,225/75,686
  6. Step 6: Final answer
    x = 173,476.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.