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Finding the Third Proportional to 84,128 and 179,929

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Solution

The third proportional to 84,128 and 179,929 is: 384,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,128 : 179,929 = 179,929 : x
  2. Step 2: Convert to fraction form
    84,128/179,929 = 179,929/x
  3. Step 3: Cross multiply
    84,128x = 179,929 × 179,929
  4. Step 4: Simplify right side
    84,128x = 32,374,445,041
  5. Step 5: Solve for x
    x = 32,374,445,041/84,128
  6. Step 6: Final answer
    x = 384,823.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.