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Finding the Third Proportional to 192,926 and 301,737

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Solution

The third proportional to 192,926 and 301,737 is: 471,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,926 : 301,737 = 301,737 : x
  2. Step 2: Convert to fraction form
    192,926/301,737 = 301,737/x
  3. Step 3: Cross multiply
    192,926x = 301,737 × 301,737
  4. Step 4: Simplify right side
    192,926x = 91,045,217,169
  5. Step 5: Solve for x
    x = 91,045,217,169/192,926
  6. Step 6: Final answer
    x = 471,917.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.