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Finding the Third Proportional to 445,193 and 689,777.50

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Solution

The third proportional to 445,193 and 689,777.50 is: 1,068,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,193 : 689,777.50 = 689,777.50 : x
  2. Step 2: Convert to fraction form
    445,193/689,777.50 = 689,777.50/x
  3. Step 3: Cross multiply
    445,193x = 689,777.50 × 689,777.50
  4. Step 4: Simplify right side
    445,193x = 475,792,999,506.25
  5. Step 5: Solve for x
    x = 475,792,999,506.25/445,193
  6. Step 6: Final answer
    x = 1,068,734.23

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