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Finding the Third Proportional to 78,590 and 160,811

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Solution

The third proportional to 78,590 and 160,811 is: 329,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,590 : 160,811 = 160,811 : x
  2. Step 2: Convert to fraction form
    78,590/160,811 = 160,811/x
  3. Step 3: Cross multiply
    78,590x = 160,811 × 160,811
  4. Step 4: Simplify right side
    78,590x = 25,860,177,721
  5. Step 5: Solve for x
    x = 25,860,177,721/78,590
  6. Step 6: Final answer
    x = 329,051.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.