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Finding the Third Proportional to 76,109.63 and 117,844.88

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Solution

The third proportional to 76,109.63 and 117,844.88 is: 182,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,109.63 : 117,844.88 = 117,844.88 : x
  2. Step 2: Convert to fraction form
    76,109.63/117,844.88 = 117,844.88/x
  3. Step 3: Cross multiply
    76,109.63x = 117,844.88 × 117,844.88
  4. Step 4: Simplify right side
    76,109.63x = 13,887,414,563.77
  5. Step 5: Solve for x
    x = 13,887,414,563.77/76,109.63
  6. Step 6: Final answer
    x = 182,465.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.