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Finding the Third Proportional to 147,088 and 321,149

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Solution

The third proportional to 147,088 and 321,149 is: 701,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,088 : 321,149 = 321,149 : x
  2. Step 2: Convert to fraction form
    147,088/321,149 = 321,149/x
  3. Step 3: Cross multiply
    147,088x = 321,149 × 321,149
  4. Step 4: Simplify right side
    147,088x = 103,136,680,201
  5. Step 5: Solve for x
    x = 103,136,680,201/147,088
  6. Step 6: Final answer
    x = 701,190.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.