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Finding the Third Proportional to 73,497 and 110,346

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Solution

The third proportional to 73,497 and 110,346 is: 165,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,497 : 110,346 = 110,346 : x
  2. Step 2: Convert to fraction form
    73,497/110,346 = 110,346/x
  3. Step 3: Cross multiply
    73,497x = 110,346 × 110,346
  4. Step 4: Simplify right side
    73,497x = 12,176,239,716
  5. Step 5: Solve for x
    x = 12,176,239,716/73,497
  6. Step 6: Final answer
    x = 165,669.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.