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Finding the Third Proportional to 333,810 and 512,379

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Solution

The third proportional to 333,810 and 512,379 is: 786,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,810 : 512,379 = 512,379 : x
  2. Step 2: Convert to fraction form
    333,810/512,379 = 512,379/x
  3. Step 3: Cross multiply
    333,810x = 512,379 × 512,379
  4. Step 4: Simplify right side
    333,810x = 262,532,239,641
  5. Step 5: Solve for x
    x = 262,532,239,641/333,810
  6. Step 6: Final answer
    x = 786,472.06

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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.