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Finding the Third Proportional to 179,798 and 258,990

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Solution

The third proportional to 179,798 and 258,990 is: 373,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,798 : 258,990 = 258,990 : x
  2. Step 2: Convert to fraction form
    179,798/258,990 = 258,990/x
  3. Step 3: Cross multiply
    179,798x = 258,990 × 258,990
  4. Step 4: Simplify right side
    179,798x = 67,075,820,100
  5. Step 5: Solve for x
    x = 67,075,820,100/179,798
  6. Step 6: Final answer
    x = 373,062.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.