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Finding the Third Proportional to 520,087 and 776,698

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Solution

The third proportional to 520,087 and 776,698 is: 1,159,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,087 : 776,698 = 776,698 : x
  2. Step 2: Convert to fraction form
    520,087/776,698 = 776,698/x
  3. Step 3: Cross multiply
    520,087x = 776,698 × 776,698
  4. Step 4: Simplify right side
    520,087x = 603,259,783,204
  5. Step 5: Solve for x
    x = 603,259,783,204/520,087
  6. Step 6: Final answer
    x = 1,159,920.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.