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Finding the Third Proportional to 171,369 and 371,898

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Solution

The third proportional to 171,369 and 371,898 is: 807,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,369 : 371,898 = 371,898 : x
  2. Step 2: Convert to fraction form
    171,369/371,898 = 371,898/x
  3. Step 3: Cross multiply
    171,369x = 371,898 × 371,898
  4. Step 4: Simplify right side
    171,369x = 138,308,122,404
  5. Step 5: Solve for x
    x = 138,308,122,404/171,369
  6. Step 6: Final answer
    x = 807,077.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.