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Finding the Third Proportional to 202,848 and 452,352

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Solution

The third proportional to 202,848 and 452,352 is: 1,008,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,848 : 452,352 = 452,352 : x
  2. Step 2: Convert to fraction form
    202,848/452,352 = 452,352/x
  3. Step 3: Cross multiply
    202,848x = 452,352 × 452,352
  4. Step 4: Simplify right side
    202,848x = 204,622,331,904
  5. Step 5: Solve for x
    x = 204,622,331,904/202,848
  6. Step 6: Final answer
    x = 1,008,747.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.