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Finding the Third Proportional to 100,220 and 215,944

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Solution

The third proportional to 100,220 and 215,944 is: 465,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,220 : 215,944 = 215,944 : x
  2. Step 2: Convert to fraction form
    100,220/215,944 = 215,944/x
  3. Step 3: Cross multiply
    100,220x = 215,944 × 215,944
  4. Step 4: Simplify right side
    100,220x = 46,631,811,136
  5. Step 5: Solve for x
    x = 46,631,811,136/100,220
  6. Step 6: Final answer
    x = 465,294.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.