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Finding the Third Proportional to 413,920 and 905,336

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Solution

The third proportional to 413,920 and 905,336 is: 1,980,173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,920 : 905,336 = 905,336 : x
  2. Step 2: Convert to fraction form
    413,920/905,336 = 905,336/x
  3. Step 3: Cross multiply
    413,920x = 905,336 × 905,336
  4. Step 4: Simplify right side
    413,920x = 819,633,272,896
  5. Step 5: Solve for x
    x = 819,633,272,896/413,920
  6. Step 6: Final answer
    x = 1,980,173.16

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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.