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Finding the Third Proportional to 300,708 and 653,877

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Solution

The third proportional to 300,708 and 653,877 is: 1,421,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,708 : 653,877 = 653,877 : x
  2. Step 2: Convert to fraction form
    300,708/653,877 = 653,877/x
  3. Step 3: Cross multiply
    300,708x = 653,877 × 653,877
  4. Step 4: Simplify right side
    300,708x = 427,555,131,129
  5. Step 5: Solve for x
    x = 427,555,131,129/300,708
  6. Step 6: Final answer
    x = 1,421,828.26

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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.