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Finding the Third Proportional to 210,768.75 and 321,405

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Solution

The third proportional to 210,768.75 and 321,405 is: 490,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,768.75 : 321,405 = 321,405 : x
  2. Step 2: Convert to fraction form
    210,768.75/321,405 = 321,405/x
  3. Step 3: Cross multiply
    210,768.75x = 321,405 × 321,405
  4. Step 4: Simplify right side
    210,768.75x = 103,301,174,025
  5. Step 5: Solve for x
    x = 103,301,174,025/210,768.75
  6. Step 6: Final answer
    x = 490,116.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.