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Finding the Third Proportional to 53,542 and 78,393

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Solution

The third proportional to 53,542 and 78,393 is: 114,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,542 : 78,393 = 78,393 : x
  2. Step 2: Convert to fraction form
    53,542/78,393 = 78,393/x
  3. Step 3: Cross multiply
    53,542x = 78,393 × 78,393
  4. Step 4: Simplify right side
    53,542x = 6,145,462,449
  5. Step 5: Solve for x
    x = 6,145,462,449/53,542
  6. Step 6: Final answer
    x = 114,778.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.