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Finding the Third Proportional to 486,434 and 777,077

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Solution

The third proportional to 486,434 and 777,077 is: 1,241,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,434 : 777,077 = 777,077 : x
  2. Step 2: Convert to fraction form
    486,434/777,077 = 777,077/x
  3. Step 3: Cross multiply
    486,434x = 777,077 × 777,077
  4. Step 4: Simplify right side
    486,434x = 603,848,663,929
  5. Step 5: Solve for x
    x = 603,848,663,929/486,434
  6. Step 6: Final answer
    x = 1,241,378.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.