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Finding the Third Proportional to 333,813 and 512,385

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Solution

The third proportional to 333,813 and 512,385 is: 786,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,813 : 512,385 = 512,385 : x
  2. Step 2: Convert to fraction form
    333,813/512,385 = 512,385/x
  3. Step 3: Cross multiply
    333,813x = 512,385 × 512,385
  4. Step 4: Simplify right side
    333,813x = 262,538,388,225
  5. Step 5: Solve for x
    x = 262,538,388,225/333,813
  6. Step 6: Final answer
    x = 786,483.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.