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Finding the Third Proportional to 413,980 and 905,448

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Solution

The third proportional to 413,980 and 905,448 is: 1,980,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,980 : 905,448 = 905,448 : x
  2. Step 2: Convert to fraction form
    413,980/905,448 = 905,448/x
  3. Step 3: Cross multiply
    413,980x = 905,448 × 905,448
  4. Step 4: Simplify right side
    413,980x = 819,836,080,704
  5. Step 5: Solve for x
    x = 819,836,080,704/413,980
  6. Step 6: Final answer
    x = 1,980,376.06

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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.