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Finding the Third Proportional to 413,550 and 900,936

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Solution

The third proportional to 413,550 and 900,936 is: 1,962,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,550 : 900,936 = 900,936 : x
  2. Step 2: Convert to fraction form
    413,550/900,936 = 900,936/x
  3. Step 3: Cross multiply
    413,550x = 900,936 × 900,936
  4. Step 4: Simplify right side
    413,550x = 811,685,676,096
  5. Step 5: Solve for x
    x = 811,685,676,096/413,550
  6. Step 6: Final answer
    x = 1,962,726.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.