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Finding the Third Proportional to 76,415 and 118,085

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Solution

The third proportional to 76,415 and 118,085 is: 182,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415 : 118,085 = 118,085 : x
  2. Step 2: Convert to fraction form
    76,415/118,085 = 118,085/x
  3. Step 3: Cross multiply
    76,415x = 118,085 × 118,085
  4. Step 4: Simplify right side
    76,415x = 13,944,067,225
  5. Step 5: Solve for x
    x = 13,944,067,225/76,415
  6. Step 6: Final answer
    x = 182,478.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.