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Finding the Third Proportional to 140,686 and 325,409

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Solution

The third proportional to 140,686 and 325,409 is: 752,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,686 : 325,409 = 325,409 : x
  2. Step 2: Convert to fraction form
    140,686/325,409 = 325,409/x
  3. Step 3: Cross multiply
    140,686x = 325,409 × 325,409
  4. Step 4: Simplify right side
    140,686x = 105,891,017,281
  5. Step 5: Solve for x
    x = 105,891,017,281/140,686
  6. Step 6: Final answer
    x = 752,676.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.