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Finding the Third Proportional to 321,735 and 699,495

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Solution

The third proportional to 321,735 and 699,495 is: 1,520,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,735 : 699,495 = 699,495 : x
  2. Step 2: Convert to fraction form
    321,735/699,495 = 699,495/x
  3. Step 3: Cross multiply
    321,735x = 699,495 × 699,495
  4. Step 4: Simplify right side
    321,735x = 489,293,255,025
  5. Step 5: Solve for x
    x = 489,293,255,025/321,735
  6. Step 6: Final answer
    x = 1,520,795.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.