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Finding the Third Proportional to 98,968 and 213,244.50

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Solution

The third proportional to 98,968 and 213,244.50 is: 459,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,968 : 213,244.50 = 213,244.50 : x
  2. Step 2: Convert to fraction form
    98,968/213,244.50 = 213,244.50/x
  3. Step 3: Cross multiply
    98,968x = 213,244.50 × 213,244.50
  4. Step 4: Simplify right side
    98,968x = 45,473,216,780.25
  5. Step 5: Solve for x
    x = 45,473,216,780.25/98,968
  6. Step 6: Final answer
    x = 459,473.94

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