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Finding the Third Proportional to 218,608.50 and 321,661.50

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Solution

The third proportional to 218,608.50 and 321,661.50 is: 473,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,608.50 : 321,661.50 = 321,661.50 : x
  2. Step 2: Convert to fraction form
    218,608.50/321,661.50 = 321,661.50/x
  3. Step 3: Cross multiply
    218,608.50x = 321,661.50 × 321,661.50
  4. Step 4: Simplify right side
    218,608.50x = 103,466,120,582.25
  5. Step 5: Solve for x
    x = 103,466,120,582.25/218,608.50
  6. Step 6: Final answer
    x = 473,294.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.