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Finding the Third Proportional to 380,172 and 569,127

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Solution

The third proportional to 380,172 and 569,127 is: 851,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,172 : 569,127 = 569,127 : x
  2. Step 2: Convert to fraction form
    380,172/569,127 = 569,127/x
  3. Step 3: Cross multiply
    380,172x = 569,127 × 569,127
  4. Step 4: Simplify right side
    380,172x = 323,905,542,129
  5. Step 5: Solve for x
    x = 323,905,542,129/380,172
  6. Step 6: Final answer
    x = 851,997.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.