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Finding the Third Proportional to 722,746 and 1,058,198

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Solution

The third proportional to 722,746 and 1,058,198 is: 1,549,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,746 : 1,058,198 = 1,058,198 : x
  2. Step 2: Convert to fraction form
    722,746/1,058,198 = 1,058,198/x
  3. Step 3: Cross multiply
    722,746x = 1,058,198 × 1,058,198
  4. Step 4: Simplify right side
    722,746x = 1,119,783,007,204
  5. Step 5: Solve for x
    x = 1,119,783,007,204/722,746
  6. Step 6: Final answer
    x = 1,549,345.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.