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Finding the Third Proportional to 422,952 and 911,928

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Solution

The third proportional to 422,952 and 911,928 is: 1,966,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,952 : 911,928 = 911,928 : x
  2. Step 2: Convert to fraction form
    422,952/911,928 = 911,928/x
  3. Step 3: Cross multiply
    422,952x = 911,928 × 911,928
  4. Step 4: Simplify right side
    422,952x = 831,612,677,184
  5. Step 5: Solve for x
    x = 831,612,677,184/422,952
  6. Step 6: Final answer
    x = 1,966,210.53

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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.