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Finding the Third Proportional to 385,186 and 858,886

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Solution

The third proportional to 385,186 and 858,886 is: 1,915,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,186 : 858,886 = 858,886 : x
  2. Step 2: Convert to fraction form
    385,186/858,886 = 858,886/x
  3. Step 3: Cross multiply
    385,186x = 858,886 × 858,886
  4. Step 4: Simplify right side
    385,186x = 737,685,160,996
  5. Step 5: Solve for x
    x = 737,685,160,996/385,186
  6. Step 6: Final answer
    x = 1,915,140.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.