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Finding the Third Proportional to 400,526 and 619,962

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Solution

The third proportional to 400,526 and 619,962 is: 959,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,526 : 619,962 = 619,962 : x
  2. Step 2: Convert to fraction form
    400,526/619,962 = 619,962/x
  3. Step 3: Cross multiply
    400,526x = 619,962 × 619,962
  4. Step 4: Simplify right side
    400,526x = 384,352,881,444
  5. Step 5: Solve for x
    x = 384,352,881,444/400,526
  6. Step 6: Final answer
    x = 959,620.30

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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.