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Finding the Third Proportional to 128,930.06 and 197,100.84

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Solution

The third proportional to 128,930.06 and 197,100.84 is: 301,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,930.06 : 197,100.84 = 197,100.84 : x
  2. Step 2: Convert to fraction form
    128,930.06/197,100.84 = 197,100.84/x
  3. Step 3: Cross multiply
    128,930.06x = 197,100.84 × 197,100.84
  4. Step 4: Simplify right side
    128,930.06x = 38,848,742,606.96
  5. Step 5: Solve for x
    x = 38,848,742,606.96/128,930.06
  6. Step 6: Final answer
    x = 301,316.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.