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Finding the Third Proportional to 409,150.50 and 889,122.50

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Solution

The third proportional to 409,150.50 and 889,122.50 is: 1,932,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,150.50 : 889,122.50 = 889,122.50 : x
  2. Step 2: Convert to fraction form
    409,150.50/889,122.50 = 889,122.50/x
  3. Step 3: Cross multiply
    409,150.50x = 889,122.50 × 889,122.50
  4. Step 4: Simplify right side
    409,150.50x = 790,538,820,006.25
  5. Step 5: Solve for x
    x = 790,538,820,006.25/409,150.50
  6. Step 6: Final answer
    x = 1,932,146.78

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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.