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Finding the Third Proportional to 418,016 and 887,680

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Solution

The third proportional to 418,016 and 887,680 is: 1,885,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,016 : 887,680 = 887,680 : x
  2. Step 2: Convert to fraction form
    418,016/887,680 = 887,680/x
  3. Step 3: Cross multiply
    418,016x = 887,680 × 887,680
  4. Step 4: Simplify right side
    418,016x = 787,975,782,400
  5. Step 5: Solve for x
    x = 787,975,782,400/418,016
  6. Step 6: Final answer
    x = 1,885,037.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.