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Finding the Third Proportional to 98,144 and 214,980

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Solution

The third proportional to 98,144 and 214,980 is: 470,903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,144 : 214,980 = 214,980 : x
  2. Step 2: Convert to fraction form
    98,144/214,980 = 214,980/x
  3. Step 3: Cross multiply
    98,144x = 214,980 × 214,980
  4. Step 4: Simplify right side
    98,144x = 46,216,400,400
  5. Step 5: Solve for x
    x = 46,216,400,400/98,144
  6. Step 6: Final answer
    x = 470,903.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.