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Finding the Third Proportional to 128,052.75 and 278,679

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Solution

The third proportional to 128,052.75 and 278,679 is: 606,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,052.75 : 278,679 = 278,679 : x
  2. Step 2: Convert to fraction form
    128,052.75/278,679 = 278,679/x
  3. Step 3: Cross multiply
    128,052.75x = 278,679 × 278,679
  4. Step 4: Simplify right side
    128,052.75x = 77,661,985,041
  5. Step 5: Solve for x
    x = 77,661,985,041/128,052.75
  6. Step 6: Final answer
    x = 606,484.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.