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Finding the Third Proportional to 426,338 and 920,986

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Solution

The third proportional to 426,338 and 920,986 is: 1,989,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,338 : 920,986 = 920,986 : x
  2. Step 2: Convert to fraction form
    426,338/920,986 = 920,986/x
  3. Step 3: Cross multiply
    426,338x = 920,986 × 920,986
  4. Step 4: Simplify right side
    426,338x = 848,215,212,196
  5. Step 5: Solve for x
    x = 848,215,212,196/426,338
  6. Step 6: Final answer
    x = 1,989,536.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.