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Finding the Third Proportional to 409,202 and 889,231

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Solution

The third proportional to 409,202 and 889,231 is: 1,932,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,202 : 889,231 = 889,231 : x
  2. Step 2: Convert to fraction form
    409,202/889,231 = 889,231/x
  3. Step 3: Cross multiply
    409,202x = 889,231 × 889,231
  4. Step 4: Simplify right side
    409,202x = 790,731,771,361
  5. Step 5: Solve for x
    x = 790,731,771,361/409,202
  6. Step 6: Final answer
    x = 1,932,375.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.