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Finding the Third Proportional to 300,684 and 653,832

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Solution

The third proportional to 300,684 and 653,832 is: 1,421,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,684 : 653,832 = 653,832 : x
  2. Step 2: Convert to fraction form
    300,684/653,832 = 653,832/x
  3. Step 3: Cross multiply
    300,684x = 653,832 × 653,832
  4. Step 4: Simplify right side
    300,684x = 427,496,284,224
  5. Step 5: Solve for x
    x = 427,496,284,224/300,684
  6. Step 6: Final answer
    x = 1,421,746.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.