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Finding the Third Proportional to 179,698.50 and 427,315.50

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Solution

The third proportional to 179,698.50 and 427,315.50 is: 1,016,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,698.50 : 427,315.50 = 427,315.50 : x
  2. Step 2: Convert to fraction form
    179,698.50/427,315.50 = 427,315.50/x
  3. Step 3: Cross multiply
    179,698.50x = 427,315.50 × 427,315.50
  4. Step 4: Simplify right side
    179,698.50x = 182,598,536,540.25
  5. Step 5: Solve for x
    x = 182,598,536,540.25/179,698.50
  6. Step 6: Final answer
    x = 1,016,138.35

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.