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Finding the Third Proportional to 187,415 and 396,565

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Solution

The third proportional to 187,415 and 396,565 is: 839,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,415 : 396,565 = 396,565 : x
  2. Step 2: Convert to fraction form
    187,415/396,565 = 396,565/x
  3. Step 3: Cross multiply
    187,415x = 396,565 × 396,565
  4. Step 4: Simplify right side
    187,415x = 157,263,799,225
  5. Step 5: Solve for x
    x = 157,263,799,225/187,415
  6. Step 6: Final answer
    x = 839,120.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.