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Finding the Third Proportional to 312,430 and 672,326

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Solution

The third proportional to 312,430 and 672,326 is: 1,446,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,430 : 672,326 = 672,326 : x
  2. Step 2: Convert to fraction form
    312,430/672,326 = 672,326/x
  3. Step 3: Cross multiply
    312,430x = 672,326 × 672,326
  4. Step 4: Simplify right side
    312,430x = 452,022,250,276
  5. Step 5: Solve for x
    x = 452,022,250,276/312,430
  6. Step 6: Final answer
    x = 1,446,795.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.