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Finding the Third Proportional to 303,048 and 638,046

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Solution

The third proportional to 303,048 and 638,046 is: 1,343,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,048 : 638,046 = 638,046 : x
  2. Step 2: Convert to fraction form
    303,048/638,046 = 638,046/x
  3. Step 3: Cross multiply
    303,048x = 638,046 × 638,046
  4. Step 4: Simplify right side
    303,048x = 407,102,698,116
  5. Step 5: Solve for x
    x = 407,102,698,116/303,048
  6. Step 6: Final answer
    x = 1,343,360.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.