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Finding the Third Proportional to 409,149.56 and 889,120.13

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Solution

The third proportional to 409,149.56 and 889,120.13 is: 1,932,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,149.56 : 889,120.13 = 889,120.13 : x
  2. Step 2: Convert to fraction form
    409,149.56/889,120.13 = 889,120.13/x
  3. Step 3: Cross multiply
    409,149.56x = 889,120.13 × 889,120.13
  4. Step 4: Simplify right side
    409,149.56x = 790,534,596,680.02
  5. Step 5: Solve for x
    x = 790,534,596,680.02/409,149.56
  6. Step 6: Final answer
    x = 1,932,140.88

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