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Finding the Third Proportional to 409,160 and 889,138

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Solution

The third proportional to 409,160 and 889,138 is: 1,932,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,160 : 889,138 = 889,138 : x
  2. Step 2: Convert to fraction form
    409,160/889,138 = 889,138/x
  3. Step 3: Cross multiply
    409,160x = 889,138 × 889,138
  4. Step 4: Simplify right side
    409,160x = 790,566,383,044
  5. Step 5: Solve for x
    x = 790,566,383,044/409,160
  6. Step 6: Final answer
    x = 1,932,169.28

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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.