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Finding the Third Proportional to 128,015.44 and 264,300.47

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Solution

The third proportional to 128,015.44 and 264,300.47 is: 545,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,015.44 : 264,300.47 = 264,300.47 : x
  2. Step 2: Convert to fraction form
    128,015.44/264,300.47 = 264,300.47/x
  3. Step 3: Cross multiply
    128,015.44x = 264,300.47 × 264,300.47
  4. Step 4: Simplify right side
    128,015.44x = 69,854,737,781.47
  5. Step 5: Solve for x
    x = 69,854,737,781.47/128,015.44
  6. Step 6: Final answer
    x = 545,674.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.