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Finding the Third Proportional to 419,576 and 645,292

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Solution

The third proportional to 419,576 and 645,292 is: 992,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,576 : 645,292 = 645,292 : x
  2. Step 2: Convert to fraction form
    419,576/645,292 = 645,292/x
  3. Step 3: Cross multiply
    419,576x = 645,292 × 645,292
  4. Step 4: Simplify right side
    419,576x = 416,401,765,264
  5. Step 5: Solve for x
    x = 416,401,765,264/419,576
  6. Step 6: Final answer
    x = 992,434.66

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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.