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Finding the Third Proportional to 426,338 and 911,748

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Solution

The third proportional to 426,338 and 911,748 is: 1,949,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,338 : 911,748 = 911,748 : x
  2. Step 2: Convert to fraction form
    426,338/911,748 = 911,748/x
  3. Step 3: Cross multiply
    426,338x = 911,748 × 911,748
  4. Step 4: Simplify right side
    426,338x = 831,284,415,504
  5. Step 5: Solve for x
    x = 831,284,415,504/426,338
  6. Step 6: Final answer
    x = 1,949,824.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.