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Finding the Third Proportional to 134,109.75 and 201,167.63

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Solution

The third proportional to 134,109.75 and 201,167.63 is: 301,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,109.75 : 201,167.63 = 201,167.63 : x
  2. Step 2: Convert to fraction form
    134,109.75/201,167.63 = 201,167.63/x
  3. Step 3: Cross multiply
    134,109.75x = 201,167.63 × 201,167.63
  4. Step 4: Simplify right side
    134,109.75x = 40,468,413,348.14
  5. Step 5: Solve for x
    x = 40,468,413,348.14/134,109.75
  6. Step 6: Final answer
    x = 301,755.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.