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Finding the Third Proportional to 98,678 and 207,671

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Solution

The third proportional to 98,678 and 207,671 is: 437,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,678 : 207,671 = 207,671 : x
  2. Step 2: Convert to fraction form
    98,678/207,671 = 207,671/x
  3. Step 3: Cross multiply
    98,678x = 207,671 × 207,671
  4. Step 4: Simplify right side
    98,678x = 43,127,244,241
  5. Step 5: Solve for x
    x = 43,127,244,241/98,678
  6. Step 6: Final answer
    x = 437,050.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.