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Finding the Third Proportional to 331,611 and 710,498

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Solution

The third proportional to 331,611 and 710,498 is: 1,522,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,611 : 710,498 = 710,498 : x
  2. Step 2: Convert to fraction form
    331,611/710,498 = 710,498/x
  3. Step 3: Cross multiply
    331,611x = 710,498 × 710,498
  4. Step 4: Simplify right side
    331,611x = 504,807,408,004
  5. Step 5: Solve for x
    x = 504,807,408,004/331,611
  6. Step 6: Final answer
    x = 1,522,287.89

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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.