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Finding the Third Proportional to 309,130.25 and 672,696.25

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Solution

The third proportional to 309,130.25 and 672,696.25 is: 1,463,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,130.25 : 672,696.25 = 672,696.25 : x
  2. Step 2: Convert to fraction form
    309,130.25/672,696.25 = 672,696.25/x
  3. Step 3: Cross multiply
    309,130.25x = 672,696.25 × 672,696.25
  4. Step 4: Simplify right side
    309,130.25x = 452,520,244,764.06
  5. Step 5: Solve for x
    x = 452,520,244,764.06/309,130.25
  6. Step 6: Final answer
    x = 1,463,849.77

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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.