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Finding the Third Proportional to 400,522.75 and 619,960.50

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Solution

The third proportional to 400,522.75 and 619,960.50 is: 959,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,522.75 : 619,960.50 = 619,960.50 : x
  2. Step 2: Convert to fraction form
    400,522.75/619,960.50 = 619,960.50/x
  3. Step 3: Cross multiply
    400,522.75x = 619,960.50 × 619,960.50
  4. Step 4: Simplify right side
    400,522.75x = 384,351,021,560.25
  5. Step 5: Solve for x
    x = 384,351,021,560.25/400,522.75
  6. Step 6: Final answer
    x = 959,623.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.