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Finding the Third Proportional to 365,985 and 778,626

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Solution

The third proportional to 365,985 and 778,626 is: 1,656,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,985 : 778,626 = 778,626 : x
  2. Step 2: Convert to fraction form
    365,985/778,626 = 778,626/x
  3. Step 3: Cross multiply
    365,985x = 778,626 × 778,626
  4. Step 4: Simplify right side
    365,985x = 606,258,447,876
  5. Step 5: Solve for x
    x = 606,258,447,876/365,985
  6. Step 6: Final answer
    x = 1,656,511.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.