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Finding the Third Proportional to 427,335 and 911,877

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Solution

The third proportional to 427,335 and 911,877 is: 1,945,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,335 : 911,877 = 911,877 : x
  2. Step 2: Convert to fraction form
    427,335/911,877 = 911,877/x
  3. Step 3: Cross multiply
    427,335x = 911,877 × 911,877
  4. Step 4: Simplify right side
    427,335x = 831,519,663,129
  5. Step 5: Solve for x
    x = 831,519,663,129/427,335
  6. Step 6: Final answer
    x = 1,945,826.26

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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.