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Finding the Third Proportional to 400,660.50 and 623,969.25

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Solution

The third proportional to 400,660.50 and 623,969.25 is: 971,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,660.50 : 623,969.25 = 623,969.25 : x
  2. Step 2: Convert to fraction form
    400,660.50/623,969.25 = 623,969.25/x
  3. Step 3: Cross multiply
    400,660.50x = 623,969.25 × 623,969.25
  4. Step 4: Simplify right side
    400,660.50x = 389,337,624,945.56
  5. Step 5: Solve for x
    x = 389,337,624,945.56/400,660.50
  6. Step 6: Final answer
    x = 971,739.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.