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Finding the Third Proportional to 142,986 and 313,980

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Solution

The third proportional to 142,986 and 313,980 is: 689,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,986 : 313,980 = 313,980 : x
  2. Step 2: Convert to fraction form
    142,986/313,980 = 313,980/x
  3. Step 3: Cross multiply
    142,986x = 313,980 × 313,980
  4. Step 4: Simplify right side
    142,986x = 98,583,440,400
  5. Step 5: Solve for x
    x = 98,583,440,400/142,986
  6. Step 6: Final answer
    x = 689,462.19

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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.