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Finding the Third Proportional to 186,202 and 398,647

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Solution

The third proportional to 186,202 and 398,647 is: 853,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,202 : 398,647 = 398,647 : x
  2. Step 2: Convert to fraction form
    186,202/398,647 = 398,647/x
  3. Step 3: Cross multiply
    186,202x = 398,647 × 398,647
  4. Step 4: Simplify right side
    186,202x = 158,919,430,609
  5. Step 5: Solve for x
    x = 158,919,430,609/186,202
  6. Step 6: Final answer
    x = 853,478.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.