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Finding the Third Proportional to 643,576 and 964,122

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Solution

The third proportional to 643,576 and 964,122 is: 1,444,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,576 : 964,122 = 964,122 : x
  2. Step 2: Convert to fraction form
    643,576/964,122 = 964,122/x
  3. Step 3: Cross multiply
    643,576x = 964,122 × 964,122
  4. Step 4: Simplify right side
    643,576x = 929,531,230,884
  5. Step 5: Solve for x
    x = 929,531,230,884/643,576
  6. Step 6: Final answer
    x = 1,444,322.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.