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Finding the Third Proportional to 53,188 and 78,731

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Solution

The third proportional to 53,188 and 78,731 is: 116,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,188 : 78,731 = 78,731 : x
  2. Step 2: Convert to fraction form
    53,188/78,731 = 78,731/x
  3. Step 3: Cross multiply
    53,188x = 78,731 × 78,731
  4. Step 4: Simplify right side
    53,188x = 6,198,570,361
  5. Step 5: Solve for x
    x = 6,198,570,361/53,188
  6. Step 6: Final answer
    x = 116,540.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.