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Finding the Third Proportional to 77,334 and 117,621

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Solution

The third proportional to 77,334 and 117,621 is: 178,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,334 : 117,621 = 117,621 : x
  2. Step 2: Convert to fraction form
    77,334/117,621 = 117,621/x
  3. Step 3: Cross multiply
    77,334x = 117,621 × 117,621
  4. Step 4: Simplify right side
    77,334x = 13,834,699,641
  5. Step 5: Solve for x
    x = 13,834,699,641/77,334
  6. Step 6: Final answer
    x = 178,895.44

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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.