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Finding the Third Proportional to 98,457 and 209,217

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Solution

The third proportional to 98,457 and 209,217 is: 444,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,457 : 209,217 = 209,217 : x
  2. Step 2: Convert to fraction form
    98,457/209,217 = 209,217/x
  3. Step 3: Cross multiply
    98,457x = 209,217 × 209,217
  4. Step 4: Simplify right side
    98,457x = 43,771,753,089
  5. Step 5: Solve for x
    x = 43,771,753,089/98,457
  6. Step 6: Final answer
    x = 444,577.36

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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.