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Finding the Third Proportional to 377,992 and 609,040

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Solution

The third proportional to 377,992 and 609,040 is: 981,316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,992 : 609,040 = 609,040 : x
  2. Step 2: Convert to fraction form
    377,992/609,040 = 609,040/x
  3. Step 3: Cross multiply
    377,992x = 609,040 × 609,040
  4. Step 4: Simplify right side
    377,992x = 370,929,721,600
  5. Step 5: Solve for x
    x = 370,929,721,600/377,992
  6. Step 6: Final answer
    x = 981,316.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.