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Finding the Third Proportional to 455,056 and 992,928

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Solution

The third proportional to 455,056 and 992,928 is: 2,166,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,056 : 992,928 = 992,928 : x
  2. Step 2: Convert to fraction form
    455,056/992,928 = 992,928/x
  3. Step 3: Cross multiply
    455,056x = 992,928 × 992,928
  4. Step 4: Simplify right side
    455,056x = 985,906,013,184
  5. Step 5: Solve for x
    x = 985,906,013,184/455,056
  6. Step 6: Final answer
    x = 2,166,559.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.