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Finding the Third Proportional to 98,305 and 209,486

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Solution

The third proportional to 98,305 and 209,486 is: 446,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,305 : 209,486 = 209,486 : x
  2. Step 2: Convert to fraction form
    98,305/209,486 = 209,486/x
  3. Step 3: Cross multiply
    98,305x = 209,486 × 209,486
  4. Step 4: Simplify right side
    98,305x = 43,884,384,196
  5. Step 5: Solve for x
    x = 43,884,384,196/98,305
  6. Step 6: Final answer
    x = 446,410.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.