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Finding the Third Proportional to 427,340 and 911,886

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Solution

The third proportional to 427,340 and 911,886 is: 1,945,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,340 : 911,886 = 911,886 : x
  2. Step 2: Convert to fraction form
    427,340/911,886 = 911,886/x
  3. Step 3: Cross multiply
    427,340x = 911,886 × 911,886
  4. Step 4: Simplify right side
    427,340x = 831,536,076,996
  5. Step 5: Solve for x
    x = 831,536,076,996/427,340
  6. Step 6: Final answer
    x = 1,945,841.90

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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.