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Finding the Third Proportional to 75,983 and 175,887

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Solution

The third proportional to 75,983 and 175,887 is: 407,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,983 : 175,887 = 175,887 : x
  2. Step 2: Convert to fraction form
    75,983/175,887 = 175,887/x
  3. Step 3: Cross multiply
    75,983x = 175,887 × 175,887
  4. Step 4: Simplify right side
    75,983x = 30,936,236,769
  5. Step 5: Solve for x
    x = 30,936,236,769/75,983
  6. Step 6: Final answer
    x = 407,146.82

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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.