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Finding the Third Proportional to 270,501.94 and 422,129.81

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Solution

The third proportional to 270,501.94 and 422,129.81 is: 658,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,501.94 : 422,129.81 = 422,129.81 : x
  2. Step 2: Convert to fraction form
    270,501.94/422,129.81 = 422,129.81/x
  3. Step 3: Cross multiply
    270,501.94x = 422,129.81 × 422,129.81
  4. Step 4: Simplify right side
    270,501.94x = 178,193,578,601.29
  5. Step 5: Solve for x
    x = 178,193,578,601.29/270,501.94
  6. Step 6: Final answer
    x = 658,751.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.