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Finding the Third Proportional to 98,190 and 213,878.25

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Solution

The third proportional to 98,190 and 213,878.25 is: 465,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,190 : 213,878.25 = 213,878.25 : x
  2. Step 2: Convert to fraction form
    98,190/213,878.25 = 213,878.25/x
  3. Step 3: Cross multiply
    98,190x = 213,878.25 × 213,878.25
  4. Step 4: Simplify right side
    98,190x = 45,743,905,823.06
  5. Step 5: Solve for x
    x = 45,743,905,823.06/98,190
  6. Step 6: Final answer
    x = 465,871.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.