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Finding the Third Proportional to 194,106.38 and 425,563.88

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Solution

The third proportional to 194,106.38 and 425,563.88 is: 933,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,106.38 : 425,563.88 = 425,563.88 : x
  2. Step 2: Convert to fraction form
    194,106.38/425,563.88 = 425,563.88/x
  3. Step 3: Cross multiply
    194,106.38x = 425,563.88 × 425,563.88
  4. Step 4: Simplify right side
    194,106.38x = 181,104,611,705.02
  5. Step 5: Solve for x
    x = 181,104,611,705.02/194,106.38
  6. Step 6: Final answer
    x = 933,017.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.