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Finding the Third Proportional to 778,442 and 994,686

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Solution

The third proportional to 778,442 and 994,686 is: 1,271,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,442 : 994,686 = 994,686 : x
  2. Step 2: Convert to fraction form
    778,442/994,686 = 994,686/x
  3. Step 3: Cross multiply
    778,442x = 994,686 × 994,686
  4. Step 4: Simplify right side
    778,442x = 989,400,238,596
  5. Step 5: Solve for x
    x = 989,400,238,596/778,442
  6. Step 6: Final answer
    x = 1,271,000.59

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.