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Finding the Third Proportional to 73,026 and 110,327.63

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Solution

The third proportional to 73,026 and 110,327.63 is: 166,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,026 : 110,327.63 = 110,327.63 : x
  2. Step 2: Convert to fraction form
    73,026/110,327.63 = 110,327.63/x
  3. Step 3: Cross multiply
    73,026x = 110,327.63 × 110,327.63
  4. Step 4: Simplify right side
    73,026x = 12,172,184,838.14
  5. Step 5: Solve for x
    x = 12,172,184,838.14/73,026
  6. Step 6: Final answer
    x = 166,682.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.