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Finding the Third Proportional to 119,911.50 and 256,438.50

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Solution

The third proportional to 119,911.50 and 256,438.50 is: 548,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,911.50 : 256,438.50 = 256,438.50 : x
  2. Step 2: Convert to fraction form
    119,911.50/256,438.50 = 256,438.50/x
  3. Step 3: Cross multiply
    119,911.50x = 256,438.50 × 256,438.50
  4. Step 4: Simplify right side
    119,911.50x = 65,760,704,282.25
  5. Step 5: Solve for x
    x = 65,760,704,282.25/119,911.50
  6. Step 6: Final answer
    x = 548,410.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.