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Finding the Third Proportional to 119,909 and 259,030

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Solution

The third proportional to 119,909 and 259,030 is: 559,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,909 : 259,030 = 259,030 : x
  2. Step 2: Convert to fraction form
    119,909/259,030 = 259,030/x
  3. Step 3: Cross multiply
    119,909x = 259,030 × 259,030
  4. Step 4: Simplify right side
    119,909x = 67,096,540,900
  5. Step 5: Solve for x
    x = 67,096,540,900/119,909
  6. Step 6: Final answer
    x = 559,562.18

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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.