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Finding the Third Proportional to 255,027 and 345,123

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Solution

The third proportional to 255,027 and 345,123 is: 467,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,027 : 345,123 = 345,123 : x
  2. Step 2: Convert to fraction form
    255,027/345,123 = 345,123/x
  3. Step 3: Cross multiply
    255,027x = 345,123 × 345,123
  4. Step 4: Simplify right side
    255,027x = 119,109,885,129
  5. Step 5: Solve for x
    x = 119,109,885,129/255,027
  6. Step 6: Final answer
    x = 467,048.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.