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Finding the Third Proportional to 187,215 and 409,422

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Solution

The third proportional to 187,215 and 409,422 is: 895,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,215 : 409,422 = 409,422 : x
  2. Step 2: Convert to fraction form
    187,215/409,422 = 409,422/x
  3. Step 3: Cross multiply
    187,215x = 409,422 × 409,422
  4. Step 4: Simplify right side
    187,215x = 167,626,374,084
  5. Step 5: Solve for x
    x = 167,626,374,084/187,215
  6. Step 6: Final answer
    x = 895,368.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.