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Finding the Third Proportional to 308,302 and 672,628

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Solution

The third proportional to 308,302 and 672,628 is: 1,467,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,302 : 672,628 = 672,628 : x
  2. Step 2: Convert to fraction form
    308,302/672,628 = 672,628/x
  3. Step 3: Cross multiply
    308,302x = 672,628 × 672,628
  4. Step 4: Simplify right side
    308,302x = 452,428,426,384
  5. Step 5: Solve for x
    x = 452,428,426,384/308,302
  6. Step 6: Final answer
    x = 1,467,484.57

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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.