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Finding the Third Proportional to 431,684 and 915,970

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Solution

The third proportional to 431,684 and 915,970 is: 1,943,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,684 : 915,970 = 915,970 : x
  2. Step 2: Convert to fraction form
    431,684/915,970 = 915,970/x
  3. Step 3: Cross multiply
    431,684x = 915,970 × 915,970
  4. Step 4: Simplify right side
    431,684x = 839,001,040,900
  5. Step 5: Solve for x
    x = 839,001,040,900/431,684
  6. Step 6: Final answer
    x = 1,943,553.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.