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Finding the Third Proportional to 77,559 and 170,355

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Solution

The third proportional to 77,559 and 170,355 is: 374,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,559 : 170,355 = 170,355 : x
  2. Step 2: Convert to fraction form
    77,559/170,355 = 170,355/x
  3. Step 3: Cross multiply
    77,559x = 170,355 × 170,355
  4. Step 4: Simplify right side
    77,559x = 29,020,826,025
  5. Step 5: Solve for x
    x = 29,020,826,025/77,559
  6. Step 6: Final answer
    x = 374,177.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.