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Finding the Third Proportional to 136,089 and 278,010

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Solution

The third proportional to 136,089 and 278,010 is: 567,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,089 : 278,010 = 278,010 : x
  2. Step 2: Convert to fraction form
    136,089/278,010 = 278,010/x
  3. Step 3: Cross multiply
    136,089x = 278,010 × 278,010
  4. Step 4: Simplify right side
    136,089x = 77,289,560,100
  5. Step 5: Solve for x
    x = 77,289,560,100/136,089
  6. Step 6: Final answer
    x = 567,933.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.