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Finding the Third Proportional to 209,174 and 320,043

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Solution

The third proportional to 209,174 and 320,043 is: 489,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,174 : 320,043 = 320,043 : x
  2. Step 2: Convert to fraction form
    209,174/320,043 = 320,043/x
  3. Step 3: Cross multiply
    209,174x = 320,043 × 320,043
  4. Step 4: Simplify right side
    209,174x = 102,427,521,849
  5. Step 5: Solve for x
    x = 102,427,521,849/209,174
  6. Step 6: Final answer
    x = 489,676.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.