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Finding the Third Proportional to 253,345 and 356,278

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Solution

The third proportional to 253,345 and 356,278 is: 501,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,345 : 356,278 = 356,278 : x
  2. Step 2: Convert to fraction form
    253,345/356,278 = 356,278/x
  3. Step 3: Cross multiply
    253,345x = 356,278 × 356,278
  4. Step 4: Simplify right side
    253,345x = 126,934,013,284
  5. Step 5: Solve for x
    x = 126,934,013,284/253,345
  6. Step 6: Final answer
    x = 501,032.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.