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Finding the Third Proportional to 375,440 and 816,976

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Solution

The third proportional to 375,440 and 816,976 is: 1,777,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,440 : 816,976 = 816,976 : x
  2. Step 2: Convert to fraction form
    375,440/816,976 = 816,976/x
  3. Step 3: Cross multiply
    375,440x = 816,976 × 816,976
  4. Step 4: Simplify right side
    375,440x = 667,449,784,576
  5. Step 5: Solve for x
    x = 667,449,784,576/375,440
  6. Step 6: Final answer
    x = 1,777,780.16

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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.