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Finding the Third Proportional to 128,921.63 and 276,888.38

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Solution

The third proportional to 128,921.63 and 276,888.38 is: 594,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,921.63 : 276,888.38 = 276,888.38 : x
  2. Step 2: Convert to fraction form
    128,921.63/276,888.38 = 276,888.38/x
  3. Step 3: Cross multiply
    128,921.63x = 276,888.38 × 276,888.38
  4. Step 4: Simplify right side
    128,921.63x = 76,667,172,210.14
  5. Step 5: Solve for x
    x = 76,667,172,210.14/128,921.63
  6. Step 6: Final answer
    x = 594,680.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.