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Finding the Third Proportional to 305,123 and 638,130

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Solution

The third proportional to 305,123 and 638,130 is: 1,334,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,123 : 638,130 = 638,130 : x
  2. Step 2: Convert to fraction form
    305,123/638,130 = 638,130/x
  3. Step 3: Cross multiply
    305,123x = 638,130 × 638,130
  4. Step 4: Simplify right side
    305,123x = 407,209,896,900
  5. Step 5: Solve for x
    x = 407,209,896,900/305,123
  6. Step 6: Final answer
    x = 1,334,576.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.