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Finding the Third Proportional to 413,256.75 and 638,309.25

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Solution

The third proportional to 413,256.75 and 638,309.25 is: 985,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,256.75 : 638,309.25 = 638,309.25 : x
  2. Step 2: Convert to fraction form
    413,256.75/638,309.25 = 638,309.25/x
  3. Step 3: Cross multiply
    413,256.75x = 638,309.25 × 638,309.25
  4. Step 4: Simplify right side
    413,256.75x = 407,438,698,635.56
  5. Step 5: Solve for x
    x = 407,438,698,635.56/413,256.75
  6. Step 6: Final answer
    x = 985,921.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.