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Finding the Third Proportional to 398,394 and 860,172

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Solution

The third proportional to 398,394 and 860,172 is: 1,857,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,394 : 860,172 = 860,172 : x
  2. Step 2: Convert to fraction form
    398,394/860,172 = 860,172/x
  3. Step 3: Cross multiply
    398,394x = 860,172 × 860,172
  4. Step 4: Simplify right side
    398,394x = 739,895,869,584
  5. Step 5: Solve for x
    x = 739,895,869,584/398,394
  6. Step 6: Final answer
    x = 1,857,196.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.