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Finding the Third Proportional to 409,737.75 and 620,320.50

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Solution

The third proportional to 409,737.75 and 620,320.50 is: 939,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,737.75 : 620,320.50 = 620,320.50 : x
  2. Step 2: Convert to fraction form
    409,737.75/620,320.50 = 620,320.50/x
  3. Step 3: Cross multiply
    409,737.75x = 620,320.50 × 620,320.50
  4. Step 4: Simplify right side
    409,737.75x = 384,797,522,720.25
  5. Step 5: Solve for x
    x = 384,797,522,720.25/409,737.75
  6. Step 6: Final answer
    x = 939,131.24

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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.