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Finding the Third Proportional to 187,084 and 409,172

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Solution

The third proportional to 187,084 and 409,172 is: 894,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,084 : 409,172 = 409,172 : x
  2. Step 2: Convert to fraction form
    187,084/409,172 = 409,172/x
  3. Step 3: Cross multiply
    187,084x = 409,172 × 409,172
  4. Step 4: Simplify right side
    187,084x = 167,421,725,584
  5. Step 5: Solve for x
    x = 167,421,725,584/187,084
  6. Step 6: Final answer
    x = 894,901.36

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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.