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Finding the Third Proportional to 409,380 and 885,342

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Solution

The third proportional to 409,380 and 885,342 is: 1,914,676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,380 : 885,342 = 885,342 : x
  2. Step 2: Convert to fraction form
    409,380/885,342 = 885,342/x
  3. Step 3: Cross multiply
    409,380x = 885,342 × 885,342
  4. Step 4: Simplify right side
    409,380x = 783,830,456,964
  5. Step 5: Solve for x
    x = 783,830,456,964/409,380
  6. Step 6: Final answer
    x = 1,914,676.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.