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Finding the Third Proportional to 78,827 and 122,387

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Solution

The third proportional to 78,827 and 122,387 is: 190,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,827 : 122,387 = 122,387 : x
  2. Step 2: Convert to fraction form
    78,827/122,387 = 122,387/x
  3. Step 3: Cross multiply
    78,827x = 122,387 × 122,387
  4. Step 4: Simplify right side
    78,827x = 14,978,577,769
  5. Step 5: Solve for x
    x = 14,978,577,769/78,827
  6. Step 6: Final answer
    x = 190,018.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.