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Finding the Third Proportional to 419,576 and 645,291

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Solution

The third proportional to 419,576 and 645,291 is: 992,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,576 : 645,291 = 645,291 : x
  2. Step 2: Convert to fraction form
    419,576/645,291 = 645,291/x
  3. Step 3: Cross multiply
    419,576x = 645,291 × 645,291
  4. Step 4: Simplify right side
    419,576x = 416,400,474,681
  5. Step 5: Solve for x
    x = 416,400,474,681/419,576
  6. Step 6: Final answer
    x = 992,431.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.