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Finding the Third Proportional to 331,731 and 710,790

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Solution

The third proportional to 331,731 and 710,790 is: 1,522,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,731 : 710,790 = 710,790 : x
  2. Step 2: Convert to fraction form
    331,731/710,790 = 710,790/x
  3. Step 3: Cross multiply
    331,731x = 710,790 × 710,790
  4. Step 4: Simplify right side
    331,731x = 505,222,424,100
  5. Step 5: Solve for x
    x = 505,222,424,100/331,731
  6. Step 6: Final answer
    x = 1,522,988.28

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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.