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Finding the Third Proportional to 303,054 and 638,058

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Solution

The third proportional to 303,054 and 638,058 is: 1,343,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,054 : 638,058 = 638,058 : x
  2. Step 2: Convert to fraction form
    303,054/638,058 = 638,058/x
  3. Step 3: Cross multiply
    303,054x = 638,058 × 638,058
  4. Step 4: Simplify right side
    303,054x = 407,118,011,364
  5. Step 5: Solve for x
    x = 407,118,011,364/303,054
  6. Step 6: Final answer
    x = 1,343,384.38

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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.