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Finding the Third Proportional to 400,560 and 623,832

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Solution

The third proportional to 400,560 and 623,832 is: 971,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,560 : 623,832 = 623,832 : x
  2. Step 2: Convert to fraction form
    400,560/623,832 = 623,832/x
  3. Step 3: Cross multiply
    400,560x = 623,832 × 623,832
  4. Step 4: Simplify right side
    400,560x = 389,166,364,224
  5. Step 5: Solve for x
    x = 389,166,364,224/400,560
  6. Step 6: Final answer
    x = 971,555.73

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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.