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Finding the Third Proportional to 376,915.78 and 821,605.78

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Solution

The third proportional to 376,915.78 and 821,605.78 is: 1,790,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,915.78 : 821,605.78 = 821,605.78 : x
  2. Step 2: Convert to fraction form
    376,915.78/821,605.78 = 821,605.78/x
  3. Step 3: Cross multiply
    376,915.78x = 821,605.78 × 821,605.78
  4. Step 4: Simplify right side
    376,915.78x = 675,036,059,783.42
  5. Step 5: Solve for x
    x = 675,036,059,783.42/376,915.78
  6. Step 6: Final answer
    x = 1,790,946.66

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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.