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Finding the Third Proportional to 136,620 and 280,044

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Solution

The third proportional to 136,620 and 280,044 is: 574,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,620 : 280,044 = 280,044 : x
  2. Step 2: Convert to fraction form
    136,620/280,044 = 280,044/x
  3. Step 3: Cross multiply
    136,620x = 280,044 × 280,044
  4. Step 4: Simplify right side
    136,620x = 78,424,641,936
  5. Step 5: Solve for x
    x = 78,424,641,936/136,620
  6. Step 6: Final answer
    x = 574,034.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.