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Finding the Third Proportional to 499,788 and 774,108

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Solution

The third proportional to 499,788 and 774,108 is: 1,198,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,788 : 774,108 = 774,108 : x
  2. Step 2: Convert to fraction form
    499,788/774,108 = 774,108/x
  3. Step 3: Cross multiply
    499,788x = 774,108 × 774,108
  4. Step 4: Simplify right side
    499,788x = 599,243,195,664
  5. Step 5: Solve for x
    x = 599,243,195,664/499,788
  6. Step 6: Final answer
    x = 1,198,994.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.