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Finding the Third Proportional to 377,755 and 821,970

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Solution

The third proportional to 377,755 and 821,970 is: 1,788,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,755 : 821,970 = 821,970 : x
  2. Step 2: Convert to fraction form
    377,755/821,970 = 821,970/x
  3. Step 3: Cross multiply
    377,755x = 821,970 × 821,970
  4. Step 4: Simplify right side
    377,755x = 675,634,680,900
  5. Step 5: Solve for x
    x = 675,634,680,900/377,755
  6. Step 6: Final answer
    x = 1,788,552.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.