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Finding the Third Proportional to 405,324 and 623,922

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Solution

The third proportional to 405,324 and 623,922 is: 960,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,324 : 623,922 = 623,922 : x
  2. Step 2: Convert to fraction form
    405,324/623,922 = 623,922/x
  3. Step 3: Cross multiply
    405,324x = 623,922 × 623,922
  4. Step 4: Simplify right side
    405,324x = 389,278,662,084
  5. Step 5: Solve for x
    x = 389,278,662,084/405,324
  6. Step 6: Final answer
    x = 960,413.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.