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Finding the Third Proportional to 187,072 and 409,892

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Solution

The third proportional to 187,072 and 409,892 is: 898,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,072 : 409,892 = 409,892 : x
  2. Step 2: Convert to fraction form
    187,072/409,892 = 409,892/x
  3. Step 3: Cross multiply
    187,072x = 409,892 × 409,892
  4. Step 4: Simplify right side
    187,072x = 168,011,451,664
  5. Step 5: Solve for x
    x = 168,011,451,664/187,072
  6. Step 6: Final answer
    x = 898,111.16

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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.