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Finding the Third Proportional to 419,549.50 and 621,455.50

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Solution

The third proportional to 419,549.50 and 621,455.50 is: 920,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,549.50 : 621,455.50 = 621,455.50 : x
  2. Step 2: Convert to fraction form
    419,549.50/621,455.50 = 621,455.50/x
  3. Step 3: Cross multiply
    419,549.50x = 621,455.50 × 621,455.50
  4. Step 4: Simplify right side
    419,549.50x = 386,206,938,480.25
  5. Step 5: Solve for x
    x = 386,206,938,480.25/419,549.50
  6. Step 6: Final answer
    x = 920,527.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.