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Finding the Third Proportional to 698,740 and 1,058,589

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Solution

The third proportional to 698,740 and 1,058,589 is: 1,603,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,740 : 1,058,589 = 1,058,589 : x
  2. Step 2: Convert to fraction form
    698,740/1,058,589 = 1,058,589/x
  3. Step 3: Cross multiply
    698,740x = 1,058,589 × 1,058,589
  4. Step 4: Simplify right side
    698,740x = 1,120,610,670,921
  5. Step 5: Solve for x
    x = 1,120,610,670,921/698,740
  6. Step 6: Final answer
    x = 1,603,759.15

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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.