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Finding the Third Proportional to 270,501.19 and 422,128.69

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Solution

The third proportional to 270,501.19 and 422,128.69 is: 658,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,501.19 : 422,128.69 = 422,128.69 : x
  2. Step 2: Convert to fraction form
    270,501.19/422,128.69 = 422,128.69/x
  3. Step 3: Cross multiply
    270,501.19x = 422,128.69 × 422,128.69
  4. Step 4: Simplify right side
    270,501.19x = 178,192,628,810.47
  5. Step 5: Solve for x
    x = 178,192,628,810.47/270,501.19
  6. Step 6: Final answer
    x = 658,749.89

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