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Finding the Third Proportional to 312,200 and 446,127

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Solution

The third proportional to 312,200 and 446,127 is: 637,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,200 : 446,127 = 446,127 : x
  2. Step 2: Convert to fraction form
    312,200/446,127 = 446,127/x
  3. Step 3: Cross multiply
    312,200x = 446,127 × 446,127
  4. Step 4: Simplify right side
    312,200x = 199,029,300,129
  5. Step 5: Solve for x
    x = 199,029,300,129/312,200
  6. Step 6: Final answer
    x = 637,505.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.