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Finding the Third Proportional to 405,320 and 623,916

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Solution

The third proportional to 405,320 and 623,916 is: 960,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,320 : 623,916 = 623,916 : x
  2. Step 2: Convert to fraction form
    405,320/623,916 = 623,916/x
  3. Step 3: Cross multiply
    405,320x = 623,916 × 623,916
  4. Step 4: Simplify right side
    405,320x = 389,271,175,056
  5. Step 5: Solve for x
    x = 389,271,175,056/405,320
  6. Step 6: Final answer
    x = 960,404.56

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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.