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Finding the Third Proportional to 265,953.38 and 399,203.44

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Solution

The third proportional to 265,953.38 and 399,203.44 is: 599,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,953.38 : 399,203.44 = 399,203.44 : x
  2. Step 2: Convert to fraction form
    265,953.38/399,203.44 = 399,203.44/x
  3. Step 3: Cross multiply
    265,953.38x = 399,203.44 × 399,203.44
  4. Step 4: Simplify right side
    265,953.38x = 159,363,384,511.82
  5. Step 5: Solve for x
    x = 159,363,384,511.82/265,953.38
  6. Step 6: Final answer
    x = 599,215.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.