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Finding the Third Proportional to 77,810 and 120,361

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Solution

The third proportional to 77,810 and 120,361 is: 186,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,810 : 120,361 = 120,361 : x
  2. Step 2: Convert to fraction form
    77,810/120,361 = 120,361/x
  3. Step 3: Cross multiply
    77,810x = 120,361 × 120,361
  4. Step 4: Simplify right side
    77,810x = 14,486,770,321
  5. Step 5: Solve for x
    x = 14,486,770,321/77,810
  6. Step 6: Final answer
    x = 186,181.34

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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.