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Finding the Third Proportional to 377,781 and 570,309

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Solution

The third proportional to 377,781 and 570,309 is: 860,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,781 : 570,309 = 570,309 : x
  2. Step 2: Convert to fraction form
    377,781/570,309 = 570,309/x
  3. Step 3: Cross multiply
    377,781x = 570,309 × 570,309
  4. Step 4: Simplify right side
    377,781x = 325,252,355,481
  5. Step 5: Solve for x
    x = 325,252,355,481/377,781
  6. Step 6: Final answer
    x = 860,954.77

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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.