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Finding the Third Proportional to 98,928 and 209,655

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Solution

The third proportional to 98,928 and 209,655 is: 444,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,928 : 209,655 = 209,655 : x
  2. Step 2: Convert to fraction form
    98,928/209,655 = 209,655/x
  3. Step 3: Cross multiply
    98,928x = 209,655 × 209,655
  4. Step 4: Simplify right side
    98,928x = 43,955,219,025
  5. Step 5: Solve for x
    x = 43,955,219,025/98,928
  6. Step 6: Final answer
    x = 444,315.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.