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Finding the Third Proportional to 164,128 and 355,416

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Solution

The third proportional to 164,128 and 355,416 is: 769,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,128 : 355,416 = 355,416 : x
  2. Step 2: Convert to fraction form
    164,128/355,416 = 355,416/x
  3. Step 3: Cross multiply
    164,128x = 355,416 × 355,416
  4. Step 4: Simplify right side
    164,128x = 126,320,533,056
  5. Step 5: Solve for x
    x = 126,320,533,056/164,128
  6. Step 6: Final answer
    x = 769,646.45

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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.