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Finding the Third Proportional to 306,364 and 448,866

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Solution

The third proportional to 306,364 and 448,866 is: 657,651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,364 : 448,866 = 448,866 : x
  2. Step 2: Convert to fraction form
    306,364/448,866 = 448,866/x
  3. Step 3: Cross multiply
    306,364x = 448,866 × 448,866
  4. Step 4: Simplify right side
    306,364x = 201,480,685,956
  5. Step 5: Solve for x
    x = 201,480,685,956/306,364
  6. Step 6: Final answer
    x = 657,651.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.