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Finding the Third Proportional to 119,988 and 259,219

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Solution

The third proportional to 119,988 and 259,219 is: 560,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,988 : 259,219 = 259,219 : x
  2. Step 2: Convert to fraction form
    119,988/259,219 = 259,219/x
  3. Step 3: Cross multiply
    119,988x = 259,219 × 259,219
  4. Step 4: Simplify right side
    119,988x = 67,194,489,961
  5. Step 5: Solve for x
    x = 67,194,489,961/119,988
  6. Step 6: Final answer
    x = 560,010.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.