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Finding the Third Proportional to 486,545 and 774,788

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Solution

The third proportional to 486,545 and 774,788 is: 1,233,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,545 : 774,788 = 774,788 : x
  2. Step 2: Convert to fraction form
    486,545/774,788 = 774,788/x
  3. Step 3: Cross multiply
    486,545x = 774,788 × 774,788
  4. Step 4: Simplify right side
    486,545x = 600,296,444,944
  5. Step 5: Solve for x
    x = 600,296,444,944/486,545
  6. Step 6: Final answer
    x = 1,233,794.29

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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.