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Finding the Third Proportional to 486,546 and 774,789

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Solution

The third proportional to 486,546 and 774,789 is: 1,233,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,546 : 774,789 = 774,789 : x
  2. Step 2: Convert to fraction form
    486,546/774,789 = 774,789/x
  3. Step 3: Cross multiply
    486,546x = 774,789 × 774,789
  4. Step 4: Simplify right side
    486,546x = 600,297,994,521
  5. Step 5: Solve for x
    x = 600,297,994,521/486,546
  6. Step 6: Final answer
    x = 1,233,794.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.