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Finding the Third Proportional to 85,890 and 129,777

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Solution

The third proportional to 85,890 and 129,777 is: 196,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,890 : 129,777 = 129,777 : x
  2. Step 2: Convert to fraction form
    85,890/129,777 = 129,777/x
  3. Step 3: Cross multiply
    85,890x = 129,777 × 129,777
  4. Step 4: Simplify right side
    85,890x = 16,842,069,729
  5. Step 5: Solve for x
    x = 16,842,069,729/85,890
  6. Step 6: Final answer
    x = 196,088.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.