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Finding the Third Proportional to 220,968 and 490,900.50

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Solution

The third proportional to 220,968 and 490,900.50 is: 1,090,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,968 : 490,900.50 = 490,900.50 : x
  2. Step 2: Convert to fraction form
    220,968/490,900.50 = 490,900.50/x
  3. Step 3: Cross multiply
    220,968x = 490,900.50 × 490,900.50
  4. Step 4: Simplify right side
    220,968x = 240,983,300,900.25
  5. Step 5: Solve for x
    x = 240,983,300,900.25/220,968
  6. Step 6: Final answer
    x = 1,090,580.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.