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Finding the Third Proportional to 130,178.25 and 263,977.50

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Solution

The third proportional to 130,178.25 and 263,977.50 is: 535,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,178.25 : 263,977.50 = 263,977.50 : x
  2. Step 2: Convert to fraction form
    130,178.25/263,977.50 = 263,977.50/x
  3. Step 3: Cross multiply
    130,178.25x = 263,977.50 × 263,977.50
  4. Step 4: Simplify right side
    130,178.25x = 69,684,120,506.25
  5. Step 5: Solve for x
    x = 69,684,120,506.25/130,178.25
  6. Step 6: Final answer
    x = 535,297.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.