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Finding the Third Proportional to 128,412 and 144,819

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Solution

The third proportional to 128,412 and 144,819 is: 163,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,412 : 144,819 = 144,819 : x
  2. Step 2: Convert to fraction form
    128,412/144,819 = 144,819/x
  3. Step 3: Cross multiply
    128,412x = 144,819 × 144,819
  4. Step 4: Simplify right side
    128,412x = 20,972,542,761
  5. Step 5: Solve for x
    x = 20,972,542,761/128,412
  6. Step 6: Final answer
    x = 163,322.30

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.