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Finding the Third Proportional to 336,765 and 720,225

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Solution

The third proportional to 336,765 and 720,225 is: 1,540,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,765 : 720,225 = 720,225 : x
  2. Step 2: Convert to fraction form
    336,765/720,225 = 720,225/x
  3. Step 3: Cross multiply
    336,765x = 720,225 × 720,225
  4. Step 4: Simplify right side
    336,765x = 518,724,050,625
  5. Step 5: Solve for x
    x = 518,724,050,625/336,765
  6. Step 6: Final answer
    x = 1,540,314.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.