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Finding the Third Proportional to 269,838 and 389,835

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Solution

The third proportional to 269,838 and 389,835 is: 563,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,838 : 389,835 = 389,835 : x
  2. Step 2: Convert to fraction form
    269,838/389,835 = 389,835/x
  3. Step 3: Cross multiply
    269,838x = 389,835 × 389,835
  4. Step 4: Simplify right side
    269,838x = 151,971,327,225
  5. Step 5: Solve for x
    x = 151,971,327,225/269,838
  6. Step 6: Final answer
    x = 563,194.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.