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Finding the Third Proportional to 186,828 and 399,900

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Solution

The third proportional to 186,828 and 399,900 is: 855,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,828 : 399,900 = 399,900 : x
  2. Step 2: Convert to fraction form
    186,828/399,900 = 399,900/x
  3. Step 3: Cross multiply
    186,828x = 399,900 × 399,900
  4. Step 4: Simplify right side
    186,828x = 159,920,010,000
  5. Step 5: Solve for x
    x = 159,920,010,000/186,828
  6. Step 6: Final answer
    x = 855,974.53

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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.