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Finding the Third Proportional to 77,721.75 and 118,837.69

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Solution

The third proportional to 77,721.75 and 118,837.69 is: 181,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,721.75 : 118,837.69 = 118,837.69 : x
  2. Step 2: Convert to fraction form
    77,721.75/118,837.69 = 118,837.69/x
  3. Step 3: Cross multiply
    77,721.75x = 118,837.69 × 118,837.69
  4. Step 4: Simplify right side
    77,721.75x = 14,122,395,970.35
  5. Step 5: Solve for x
    x = 14,122,395,970.35/77,721.75
  6. Step 6: Final answer
    x = 181,704.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.