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Finding the Third Proportional to 140,744 and 310,288

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Solution

The third proportional to 140,744 and 310,288 is: 684,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,744 : 310,288 = 310,288 : x
  2. Step 2: Convert to fraction form
    140,744/310,288 = 310,288/x
  3. Step 3: Cross multiply
    140,744x = 310,288 × 310,288
  4. Step 4: Simplify right side
    140,744x = 96,278,642,944
  5. Step 5: Solve for x
    x = 96,278,642,944/140,744
  6. Step 6: Final answer
    x = 684,069.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.