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Finding the Third Proportional to 77,620 and 117,888

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Solution

The third proportional to 77,620 and 117,888 is: 179,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,620 : 117,888 = 117,888 : x
  2. Step 2: Convert to fraction form
    77,620/117,888 = 117,888/x
  3. Step 3: Cross multiply
    77,620x = 117,888 × 117,888
  4. Step 4: Simplify right side
    77,620x = 13,897,580,544
  5. Step 5: Solve for x
    x = 13,897,580,544/77,620
  6. Step 6: Final answer
    x = 179,046.39

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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.