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Finding the Third Proportional to 351,717 and 715,864

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Solution

The third proportional to 351,717 and 715,864 is: 1,457,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,717 : 715,864 = 715,864 : x
  2. Step 2: Convert to fraction form
    351,717/715,864 = 715,864/x
  3. Step 3: Cross multiply
    351,717x = 715,864 × 715,864
  4. Step 4: Simplify right side
    351,717x = 512,461,266,496
  5. Step 5: Solve for x
    x = 512,461,266,496/351,717
  6. Step 6: Final answer
    x = 1,457,027.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.