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Finding the Third Proportional to 171,372 and 371,904

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Solution

The third proportional to 171,372 and 371,904 is: 807,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,372 : 371,904 = 371,904 : x
  2. Step 2: Convert to fraction form
    171,372/371,904 = 371,904/x
  3. Step 3: Cross multiply
    171,372x = 371,904 × 371,904
  4. Step 4: Simplify right side
    171,372x = 138,312,585,216
  5. Step 5: Solve for x
    x = 138,312,585,216/171,372
  6. Step 6: Final answer
    x = 807,089.75

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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.