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Finding the Third Proportional to 72,798 and 109,197

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Solution

The third proportional to 72,798 and 109,197 is: 163,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,798 : 109,197 = 109,197 : x
  2. Step 2: Convert to fraction form
    72,798/109,197 = 109,197/x
  3. Step 3: Cross multiply
    72,798x = 109,197 × 109,197
  4. Step 4: Simplify right side
    72,798x = 11,923,984,809
  5. Step 5: Solve for x
    x = 11,923,984,809/72,798
  6. Step 6: Final answer
    x = 163,795.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.