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Finding the Third Proportional to 149,847 and 210,783

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Solution

The third proportional to 149,847 and 210,783 is: 296,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,847 : 210,783 = 210,783 : x
  2. Step 2: Convert to fraction form
    149,847/210,783 = 210,783/x
  3. Step 3: Cross multiply
    149,847x = 210,783 × 210,783
  4. Step 4: Simplify right side
    149,847x = 44,429,473,089
  5. Step 5: Solve for x
    x = 44,429,473,089/149,847
  6. Step 6: Final answer
    x = 296,498.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.