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Finding the Third Proportional to 77,333 and 117,620

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Solution

The third proportional to 77,333 and 117,620 is: 178,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,333 : 117,620 = 117,620 : x
  2. Step 2: Convert to fraction form
    77,333/117,620 = 117,620/x
  3. Step 3: Cross multiply
    77,333x = 117,620 × 117,620
  4. Step 4: Simplify right side
    77,333x = 13,834,464,400
  5. Step 5: Solve for x
    x = 13,834,464,400/77,333
  6. Step 6: Final answer
    x = 178,894.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.