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Finding the Third Proportional to 208,040 and 425,940

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Solution

The third proportional to 208,040 and 425,940 is: 872,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,040 : 425,940 = 425,940 : x
  2. Step 2: Convert to fraction form
    208,040/425,940 = 425,940/x
  3. Step 3: Cross multiply
    208,040x = 425,940 × 425,940
  4. Step 4: Simplify right side
    208,040x = 181,424,883,600
  5. Step 5: Solve for x
    x = 181,424,883,600/208,040
  6. Step 6: Final answer
    x = 872,067.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.