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Finding the Third Proportional to 309,129 and 672,695

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Solution

The third proportional to 309,129 and 672,695 is: 1,463,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,129 : 672,695 = 672,695 : x
  2. Step 2: Convert to fraction form
    309,129/672,695 = 672,695/x
  3. Step 3: Cross multiply
    309,129x = 672,695 × 672,695
  4. Step 4: Simplify right side
    309,129x = 452,518,563,025
  5. Step 5: Solve for x
    x = 452,518,563,025/309,129
  6. Step 6: Final answer
    x = 1,463,850.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.