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Finding the Third Proportional to 253,735 and 551,205

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Solution

The third proportional to 253,735 and 551,205 is: 1,197,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,735 : 551,205 = 551,205 : x
  2. Step 2: Convert to fraction form
    253,735/551,205 = 551,205/x
  3. Step 3: Cross multiply
    253,735x = 551,205 × 551,205
  4. Step 4: Simplify right side
    253,735x = 303,826,952,025
  5. Step 5: Solve for x
    x = 303,826,952,025/253,735
  6. Step 6: Final answer
    x = 1,197,418.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.