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Finding the Third Proportional to 397,378 and 774,776

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Solution

The third proportional to 397,378 and 774,776 is: 1,510,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,378 : 774,776 = 774,776 : x
  2. Step 2: Convert to fraction form
    397,378/774,776 = 774,776/x
  3. Step 3: Cross multiply
    397,378x = 774,776 × 774,776
  4. Step 4: Simplify right side
    397,378x = 600,277,850,176
  5. Step 5: Solve for x
    x = 600,277,850,176/397,378
  6. Step 6: Final answer
    x = 1,510,596.59

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.