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Finding the Third Proportional to 300,408.75 and 643,464

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Solution

The third proportional to 300,408.75 and 643,464 is: 1,378,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,408.75 : 643,464 = 643,464 : x
  2. Step 2: Convert to fraction form
    300,408.75/643,464 = 643,464/x
  3. Step 3: Cross multiply
    300,408.75x = 643,464 × 643,464
  4. Step 4: Simplify right side
    300,408.75x = 414,045,919,296
  5. Step 5: Solve for x
    x = 414,045,919,296/300,408.75
  6. Step 6: Final answer
    x = 1,378,275.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.