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Finding the Third Proportional to 77,766 and 171,948

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Solution

The third proportional to 77,766 and 171,948 is: 380,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,766 : 171,948 = 171,948 : x
  2. Step 2: Convert to fraction form
    77,766/171,948 = 171,948/x
  3. Step 3: Cross multiply
    77,766x = 171,948 × 171,948
  4. Step 4: Simplify right side
    77,766x = 29,566,114,704
  5. Step 5: Solve for x
    x = 29,566,114,704/77,766
  6. Step 6: Final answer
    x = 380,193.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.