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Finding the Third Proportional to 117,313.31 and 256,143.38

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Solution

The third proportional to 117,313.31 and 256,143.38 is: 559,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,313.31 : 256,143.38 = 256,143.38 : x
  2. Step 2: Convert to fraction form
    117,313.31/256,143.38 = 256,143.38/x
  3. Step 3: Cross multiply
    117,313.31x = 256,143.38 × 256,143.38
  4. Step 4: Simplify right side
    117,313.31x = 65,609,428,556.39
  5. Step 5: Solve for x
    x = 65,609,428,556.39/117,313.31
  6. Step 6: Final answer
    x = 559,266.69

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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.