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Finding the Third Proportional to 413,934 and 905,358

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Solution

The third proportional to 413,934 and 905,358 is: 1,980,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,934 : 905,358 = 905,358 : x
  2. Step 2: Convert to fraction form
    413,934/905,358 = 905,358/x
  3. Step 3: Cross multiply
    413,934x = 905,358 × 905,358
  4. Step 4: Simplify right side
    413,934x = 819,673,108,164
  5. Step 5: Solve for x
    x = 819,673,108,164/413,934
  6. Step 6: Final answer
    x = 1,980,202.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.