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Finding the Third Proportional to 436,812 and 658,299

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Solution

The third proportional to 436,812 and 658,299 is: 992,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,812 : 658,299 = 658,299 : x
  2. Step 2: Convert to fraction form
    436,812/658,299 = 658,299/x
  3. Step 3: Cross multiply
    436,812x = 658,299 × 658,299
  4. Step 4: Simplify right side
    436,812x = 433,357,573,401
  5. Step 5: Solve for x
    x = 433,357,573,401/436,812
  6. Step 6: Final answer
    x = 992,091.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.