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Finding the Third Proportional to 70,408 and 146,641

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Solution

The third proportional to 70,408 and 146,641 is: 305,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,408 : 146,641 = 146,641 : x
  2. Step 2: Convert to fraction form
    70,408/146,641 = 146,641/x
  3. Step 3: Cross multiply
    70,408x = 146,641 × 146,641
  4. Step 4: Simplify right side
    70,408x = 21,503,582,881
  5. Step 5: Solve for x
    x = 21,503,582,881/70,408
  6. Step 6: Final answer
    x = 305,413.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.