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Finding the Third Proportional to 213,864 and 432,912

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Solution

The third proportional to 213,864 and 432,912 is: 876,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,864 : 432,912 = 432,912 : x
  2. Step 2: Convert to fraction form
    213,864/432,912 = 432,912/x
  3. Step 3: Cross multiply
    213,864x = 432,912 × 432,912
  4. Step 4: Simplify right side
    213,864x = 187,412,799,744
  5. Step 5: Solve for x
    x = 187,412,799,744/213,864
  6. Step 6: Final answer
    x = 876,317.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.