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Finding the Third Proportional to 278,044 and 565,912

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Solution

The third proportional to 278,044 and 565,912 is: 1,151,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,044 : 565,912 = 565,912 : x
  2. Step 2: Convert to fraction form
    278,044/565,912 = 565,912/x
  3. Step 3: Cross multiply
    278,044x = 565,912 × 565,912
  4. Step 4: Simplify right side
    278,044x = 320,256,391,744
  5. Step 5: Solve for x
    x = 320,256,391,744/278,044
  6. Step 6: Final answer
    x = 1,151,819.11

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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.