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Finding the Third Proportional to 92,520 and 138,777

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Solution

The third proportional to 92,520 and 138,777 is: 208,161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,520 : 138,777 = 138,777 : x
  2. Step 2: Convert to fraction form
    92,520/138,777 = 138,777/x
  3. Step 3: Cross multiply
    92,520x = 138,777 × 138,777
  4. Step 4: Simplify right side
    92,520x = 19,259,055,729
  5. Step 5: Solve for x
    x = 19,259,055,729/92,520
  6. Step 6: Final answer
    x = 208,161.00

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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.