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Finding the Third Proportional to 155,983 and 231,679

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Solution

The third proportional to 155,983 and 231,679 is: 344,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,983 : 231,679 = 231,679 : x
  2. Step 2: Convert to fraction form
    155,983/231,679 = 231,679/x
  3. Step 3: Cross multiply
    155,983x = 231,679 × 231,679
  4. Step 4: Simplify right side
    155,983x = 53,675,159,041
  5. Step 5: Solve for x
    x = 53,675,159,041/155,983
  6. Step 6: Final answer
    x = 344,109.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.