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Finding the Third Proportional to 447,145 and 664,642

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Solution

The third proportional to 447,145 and 664,642 is: 987,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,145 : 664,642 = 664,642 : x
  2. Step 2: Convert to fraction form
    447,145/664,642 = 664,642/x
  3. Step 3: Cross multiply
    447,145x = 664,642 × 664,642
  4. Step 4: Simplify right side
    447,145x = 441,748,988,164
  5. Step 5: Solve for x
    x = 441,748,988,164/447,145
  6. Step 6: Final answer
    x = 987,932.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.