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Finding the Third Proportional to 139,197.38 and 310,268.25

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Solution

The third proportional to 139,197.38 and 310,268.25 is: 691,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,197.38 : 310,268.25 = 310,268.25 : x
  2. Step 2: Convert to fraction form
    139,197.38/310,268.25 = 310,268.25/x
  3. Step 3: Cross multiply
    139,197.38x = 310,268.25 × 310,268.25
  4. Step 4: Simplify right side
    139,197.38x = 96,266,386,958.06
  5. Step 5: Solve for x
    x = 96,266,386,958.06/139,197.38
  6. Step 6: Final answer
    x = 691,581.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.