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Finding the Third Proportional to 69,186 and 104,415

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Solution

The third proportional to 69,186 and 104,415 is: 157,582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,186 : 104,415 = 104,415 : x
  2. Step 2: Convert to fraction form
    69,186/104,415 = 104,415/x
  3. Step 3: Cross multiply
    69,186x = 104,415 × 104,415
  4. Step 4: Simplify right side
    69,186x = 10,902,492,225
  5. Step 5: Solve for x
    x = 10,902,492,225/69,186
  6. Step 6: Final answer
    x = 157,582.35

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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.