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Finding the Third Proportional to 439,256.25 and 664,416

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Solution

The third proportional to 439,256.25 and 664,416 is: 1,004,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,256.25 : 664,416 = 664,416 : x
  2. Step 2: Convert to fraction form
    439,256.25/664,416 = 664,416/x
  3. Step 3: Cross multiply
    439,256.25x = 664,416 × 664,416
  4. Step 4: Simplify right side
    439,256.25x = 441,448,621,056
  5. Step 5: Solve for x
    x = 441,448,621,056/439,256.25
  6. Step 6: Final answer
    x = 1,004,991.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.