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Finding the Third Proportional to 141,185 and 209,347

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Solution

The third proportional to 141,185 and 209,347 is: 310,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,185 : 209,347 = 209,347 : x
  2. Step 2: Convert to fraction form
    141,185/209,347 = 209,347/x
  3. Step 3: Cross multiply
    141,185x = 209,347 × 209,347
  4. Step 4: Simplify right side
    141,185x = 43,826,166,409
  5. Step 5: Solve for x
    x = 43,826,166,409/141,185
  6. Step 6: Final answer
    x = 310,416.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.