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Finding the Third Proportional to 164,128 and 355,904

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Solution

The third proportional to 164,128 and 355,904 is: 771,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,128 : 355,904 = 355,904 : x
  2. Step 2: Convert to fraction form
    164,128/355,904 = 355,904/x
  3. Step 3: Cross multiply
    164,128x = 355,904 × 355,904
  4. Step 4: Simplify right side
    164,128x = 126,667,657,216
  5. Step 5: Solve for x
    x = 126,667,657,216/164,128
  6. Step 6: Final answer
    x = 771,761.41

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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.