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Finding the Third Proportional to 172,240 and 371,648

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Solution

The third proportional to 172,240 and 371,648 is: 801,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,240 : 371,648 = 371,648 : x
  2. Step 2: Convert to fraction form
    172,240/371,648 = 371,648/x
  3. Step 3: Cross multiply
    172,240x = 371,648 × 371,648
  4. Step 4: Simplify right side
    172,240x = 138,122,235,904
  5. Step 5: Solve for x
    x = 138,122,235,904/172,240
  6. Step 6: Final answer
    x = 801,917.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.