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Finding the Third Proportional to 84,074.63 and 122,878.69

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Solution

The third proportional to 84,074.63 and 122,878.69 is: 179,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,074.63 : 122,878.69 = 122,878.69 : x
  2. Step 2: Convert to fraction form
    84,074.63/122,878.69 = 122,878.69/x
  3. Step 3: Cross multiply
    84,074.63x = 122,878.69 × 122,878.69
  4. Step 4: Simplify right side
    84,074.63x = 15,099,171,841.72
  5. Step 5: Solve for x
    x = 15,099,171,841.72/84,074.63
  6. Step 6: Final answer
    x = 179,592.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.