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Finding the Third Proportional to 395,813 and 864,209

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Solution

The third proportional to 395,813 and 864,209 is: 1,886,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,813 : 864,209 = 864,209 : x
  2. Step 2: Convert to fraction form
    395,813/864,209 = 864,209/x
  3. Step 3: Cross multiply
    395,813x = 864,209 × 864,209
  4. Step 4: Simplify right side
    395,813x = 746,857,195,681
  5. Step 5: Solve for x
    x = 746,857,195,681/395,813
  6. Step 6: Final answer
    x = 1,886,894.05

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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.