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Finding the Third Proportional to 147,321 and 220,736.25

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Solution

The third proportional to 147,321 and 220,736.25 is: 330,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,321 : 220,736.25 = 220,736.25 : x
  2. Step 2: Convert to fraction form
    147,321/220,736.25 = 220,736.25/x
  3. Step 3: Cross multiply
    147,321x = 220,736.25 × 220,736.25
  4. Step 4: Simplify right side
    147,321x = 48,724,492,064.06
  5. Step 5: Solve for x
    x = 48,724,492,064.06/147,321
  6. Step 6: Final answer
    x = 330,736.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.