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Finding the Third Proportional to 405,184 and 869,438

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Solution

The third proportional to 405,184 and 869,438 is: 1,865,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,184 : 869,438 = 869,438 : x
  2. Step 2: Convert to fraction form
    405,184/869,438 = 869,438/x
  3. Step 3: Cross multiply
    405,184x = 869,438 × 869,438
  4. Step 4: Simplify right side
    405,184x = 755,922,435,844
  5. Step 5: Solve for x
    x = 755,922,435,844/405,184
  6. Step 6: Final answer
    x = 1,865,627.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.