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Finding the Third Proportional to 152,859 and 220,175.25

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Solution

The third proportional to 152,859 and 220,175.25 is: 317,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,859 : 220,175.25 = 220,175.25 : x
  2. Step 2: Convert to fraction form
    152,859/220,175.25 = 220,175.25/x
  3. Step 3: Cross multiply
    152,859x = 220,175.25 × 220,175.25
  4. Step 4: Simplify right side
    152,859x = 48,477,140,712.56
  5. Step 5: Solve for x
    x = 48,477,140,712.56/152,859
  6. Step 6: Final answer
    x = 317,136.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.