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Finding the Third Proportional to 222,429.63 and 524,852.13

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Solution

The third proportional to 222,429.63 and 524,852.13 is: 1,238,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,429.63 : 524,852.13 = 524,852.13 : x
  2. Step 2: Convert to fraction form
    222,429.63/524,852.13 = 524,852.13/x
  3. Step 3: Cross multiply
    222,429.63x = 524,852.13 × 524,852.13
  4. Step 4: Simplify right side
    222,429.63x = 275,469,753,117.02
  5. Step 5: Solve for x
    x = 275,469,753,117.02/222,429.63
  6. Step 6: Final answer
    x = 1,238,458.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.