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Finding the Third Proportional to 229,340.81 and 518,138.69

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Solution

The third proportional to 229,340.81 and 518,138.69 is: 1,170,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,340.81 : 518,138.69 = 518,138.69 : x
  2. Step 2: Convert to fraction form
    229,340.81/518,138.69 = 518,138.69/x
  3. Step 3: Cross multiply
    229,340.81x = 518,138.69 × 518,138.69
  4. Step 4: Simplify right side
    229,340.81x = 268,467,699,484.22
  5. Step 5: Solve for x
    x = 268,467,699,484.22/229,340.81
  6. Step 6: Final answer
    x = 1,170,605.86

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.