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Finding the Third Proportional to 133,960.31 and 286,343.81

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Solution

The third proportional to 133,960.31 and 286,343.81 is: 612,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,960.31 : 286,343.81 = 286,343.81 : x
  2. Step 2: Convert to fraction form
    133,960.31/286,343.81 = 286,343.81/x
  3. Step 3: Cross multiply
    133,960.31x = 286,343.81 × 286,343.81
  4. Step 4: Simplify right side
    133,960.31x = 81,992,778,957.04
  5. Step 5: Solve for x
    x = 81,992,778,957.04/133,960.31
  6. Step 6: Final answer
    x = 612,067.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.