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Finding the Third Proportional to 128,430.56 and 204,536.81

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Solution

The third proportional to 128,430.56 and 204,536.81 is: 325,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,430.56 : 204,536.81 = 204,536.81 : x
  2. Step 2: Convert to fraction form
    128,430.56/204,536.81 = 204,536.81/x
  3. Step 3: Cross multiply
    128,430.56x = 204,536.81 × 204,536.81
  4. Step 4: Simplify right side
    128,430.56x = 41,835,307,667.66
  5. Step 5: Solve for x
    x = 41,835,307,667.66/128,430.56
  6. Step 6: Final answer
    x = 325,742.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.