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Finding the Third Proportional to 409,158 and 889,133.63

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Solution

The third proportional to 409,158 and 889,133.63 is: 1,932,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,158 : 889,133.63 = 889,133.63 : x
  2. Step 2: Convert to fraction form
    409,158/889,133.63 = 889,133.63/x
  3. Step 3: Cross multiply
    409,158x = 889,133.63 × 889,133.63
  4. Step 4: Simplify right side
    409,158x = 790,558,603,105.64
  5. Step 5: Solve for x
    x = 790,558,603,105.64/409,158
  6. Step 6: Final answer
    x = 1,932,159.71

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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.