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Finding the Third Proportional to 455,893 and 992,055

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Solution

The third proportional to 455,893 and 992,055 is: 2,158,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,893 : 992,055 = 992,055 : x
  2. Step 2: Convert to fraction form
    455,893/992,055 = 992,055/x
  3. Step 3: Cross multiply
    455,893x = 992,055 × 992,055
  4. Step 4: Simplify right side
    455,893x = 984,173,123,025
  5. Step 5: Solve for x
    x = 984,173,123,025/455,893
  6. Step 6: Final answer
    x = 2,158,780.95

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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.