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Finding the Third Proportional to 77,798 and 120,697

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Solution

The third proportional to 77,798 and 120,697 is: 187,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,798 : 120,697 = 120,697 : x
  2. Step 2: Convert to fraction form
    77,798/120,697 = 120,697/x
  3. Step 3: Cross multiply
    77,798x = 120,697 × 120,697
  4. Step 4: Simplify right side
    77,798x = 14,567,765,809
  5. Step 5: Solve for x
    x = 14,567,765,809/77,798
  6. Step 6: Final answer
    x = 187,251.16

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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.