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Finding the Third Proportional to 377,309 and 570,824

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Solution

The third proportional to 377,309 and 570,824 is: 863,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,309 : 570,824 = 570,824 : x
  2. Step 2: Convert to fraction form
    377,309/570,824 = 570,824/x
  3. Step 3: Cross multiply
    377,309x = 570,824 × 570,824
  4. Step 4: Simplify right side
    377,309x = 325,840,038,976
  5. Step 5: Solve for x
    x = 325,840,038,976/377,309
  6. Step 6: Final answer
    x = 863,589.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.