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Finding the Third Proportional to 194,986 and 425,228

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Solution

The third proportional to 194,986 and 425,228 is: 927,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,986 : 425,228 = 425,228 : x
  2. Step 2: Convert to fraction form
    194,986/425,228 = 425,228/x
  3. Step 3: Cross multiply
    194,986x = 425,228 × 425,228
  4. Step 4: Simplify right side
    194,986x = 180,818,851,984
  5. Step 5: Solve for x
    x = 180,818,851,984/194,986
  6. Step 6: Final answer
    x = 927,342.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.