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Finding the Third Proportional to 451,608.75 and 619,256.25

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Solution

The third proportional to 451,608.75 and 619,256.25 is: 849,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,608.75 : 619,256.25 = 619,256.25 : x
  2. Step 2: Convert to fraction form
    451,608.75/619,256.25 = 619,256.25/x
  3. Step 3: Cross multiply
    451,608.75x = 619,256.25 × 619,256.25
  4. Step 4: Simplify right side
    451,608.75x = 383,478,303,164.06
  5. Step 5: Solve for x
    x = 383,478,303,164.06/451,608.75
  6. Step 6: Final answer
    x = 849,138.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.