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Finding the Third Proportional to 414,627 and 858,774

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Solution

The third proportional to 414,627 and 858,774 is: 1,778,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,627 : 858,774 = 858,774 : x
  2. Step 2: Convert to fraction form
    414,627/858,774 = 858,774/x
  3. Step 3: Cross multiply
    414,627x = 858,774 × 858,774
  4. Step 4: Simplify right side
    414,627x = 737,492,783,076
  5. Step 5: Solve for x
    x = 737,492,783,076/414,627
  6. Step 6: Final answer
    x = 1,778,689.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.