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Finding the Third Proportional to 331,546 and 715,508

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Solution

The third proportional to 331,546 and 715,508 is: 1,544,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,546 : 715,508 = 715,508 : x
  2. Step 2: Convert to fraction form
    331,546/715,508 = 715,508/x
  3. Step 3: Cross multiply
    331,546x = 715,508 × 715,508
  4. Step 4: Simplify right side
    331,546x = 511,951,698,064
  5. Step 5: Solve for x
    x = 511,951,698,064/331,546
  6. Step 6: Final answer
    x = 1,544,134.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.