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Finding the Third Proportional to 454,173 and 985,620

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Solution

The third proportional to 454,173 and 985,620 is: 2,138,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,173 : 985,620 = 985,620 : x
  2. Step 2: Convert to fraction form
    454,173/985,620 = 985,620/x
  3. Step 3: Cross multiply
    454,173x = 985,620 × 985,620
  4. Step 4: Simplify right side
    454,173x = 971,446,784,400
  5. Step 5: Solve for x
    x = 971,446,784,400/454,173
  6. Step 6: Final answer
    x = 2,138,935.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.