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Finding the Third Proportional to 278,944 and 609,728

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Solution

The third proportional to 278,944 and 609,728 is: 1,332,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,944 : 609,728 = 609,728 : x
  2. Step 2: Convert to fraction form
    278,944/609,728 = 609,728/x
  3. Step 3: Cross multiply
    278,944x = 609,728 × 609,728
  4. Step 4: Simplify right side
    278,944x = 371,768,233,984
  5. Step 5: Solve for x
    x = 371,768,233,984/278,944
  6. Step 6: Final answer
    x = 1,332,770.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.