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Finding the Third Proportional to 154,485 and 220,493.25

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Solution

The third proportional to 154,485 and 220,493.25 is: 314,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,485 : 220,493.25 = 220,493.25 : x
  2. Step 2: Convert to fraction form
    154,485/220,493.25 = 220,493.25/x
  3. Step 3: Cross multiply
    154,485x = 220,493.25 × 220,493.25
  4. Step 4: Simplify right side
    154,485x = 48,617,273,295.56
  5. Step 5: Solve for x
    x = 48,617,273,295.56/154,485
  6. Step 6: Final answer
    x = 314,705.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.