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Finding the Third Proportional to 380,140 and 823,020

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Solution

The third proportional to 380,140 and 823,020 is: 1,781,874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,140 : 823,020 = 823,020 : x
  2. Step 2: Convert to fraction form
    380,140/823,020 = 823,020/x
  3. Step 3: Cross multiply
    380,140x = 823,020 × 823,020
  4. Step 4: Simplify right side
    380,140x = 677,361,920,400
  5. Step 5: Solve for x
    x = 677,361,920,400/380,140
  6. Step 6: Final answer
    x = 1,781,874.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.