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Finding the Third Proportional to 681,417 and 1,058,107.50

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Solution

The third proportional to 681,417 and 1,058,107.50 is: 1,643,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,417 : 1,058,107.50 = 1,058,107.50 : x
  2. Step 2: Convert to fraction form
    681,417/1,058,107.50 = 1,058,107.50/x
  3. Step 3: Cross multiply
    681,417x = 1,058,107.50 × 1,058,107.50
  4. Step 4: Simplify right side
    681,417x = 1,119,591,481,556.25
  5. Step 5: Solve for x
    x = 1,119,591,481,556.25/681,417
  6. Step 6: Final answer
    x = 1,643,034.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.