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Finding the Third Proportional to 253,341 and 356,319

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Solution

The third proportional to 253,341 and 356,319 is: 501,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,341 : 356,319 = 356,319 : x
  2. Step 2: Convert to fraction form
    253,341/356,319 = 356,319/x
  3. Step 3: Cross multiply
    253,341x = 356,319 × 356,319
  4. Step 4: Simplify right side
    253,341x = 126,963,229,761
  5. Step 5: Solve for x
    x = 126,963,229,761/253,341
  6. Step 6: Final answer
    x = 501,155.48

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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.