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Finding the Third Proportional to 141,007 and 215,970

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Solution

The third proportional to 141,007 and 215,970 is: 330,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,007 : 215,970 = 215,970 : x
  2. Step 2: Convert to fraction form
    141,007/215,970 = 215,970/x
  3. Step 3: Cross multiply
    141,007x = 215,970 × 215,970
  4. Step 4: Simplify right side
    141,007x = 46,643,040,900
  5. Step 5: Solve for x
    x = 46,643,040,900/141,007
  6. Step 6: Final answer
    x = 330,785.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.