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Finding the Third Proportional to 272,679.75 and 585,839.25

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Solution

The third proportional to 272,679.75 and 585,839.25 is: 1,258,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,679.75 : 585,839.25 = 585,839.25 : x
  2. Step 2: Convert to fraction form
    272,679.75/585,839.25 = 585,839.25/x
  3. Step 3: Cross multiply
    272,679.75x = 585,839.25 × 585,839.25
  4. Step 4: Simplify right side
    272,679.75x = 343,207,626,840.56
  5. Step 5: Solve for x
    x = 343,207,626,840.56/272,679.75
  6. Step 6: Final answer
    x = 1,258,647.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.