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Finding the Third Proportional to 678,169.97 and 948,182.20

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Solution

The third proportional to 678,169.97 and 948,182.20 is: 1,325,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,169.97 : 948,182.20 = 948,182.20 : x
  2. Step 2: Convert to fraction form
    678,169.97/948,182.20 = 948,182.20/x
  3. Step 3: Cross multiply
    678,169.97x = 948,182.20 × 948,182.20
  4. Step 4: Simplify right side
    678,169.97x = 899,049,490,322.98
  5. Step 5: Solve for x
    x = 899,049,490,322.98/678,169.97
  6. Step 6: Final answer
    x = 1,325,699.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.