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Finding the Third Proportional to 269,800.88 and 389,782.13

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Solution

The third proportional to 269,800.88 and 389,782.13 is: 563,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,800.88 : 389,782.13 = 389,782.13 : x
  2. Step 2: Convert to fraction form
    269,800.88/389,782.13 = 389,782.13/x
  3. Step 3: Cross multiply
    269,800.88x = 389,782.13 × 389,782.13
  4. Step 4: Simplify right side
    269,800.88x = 151,930,104,969.52
  5. Step 5: Solve for x
    x = 151,930,104,969.52/269,800.88
  6. Step 6: Final answer
    x = 563,119.39

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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.