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Finding the Third Proportional to 431,512 and 917,456

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Solution

The third proportional to 431,512 and 917,456 is: 1,950,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,512 : 917,456 = 917,456 : x
  2. Step 2: Convert to fraction form
    431,512/917,456 = 917,456/x
  3. Step 3: Cross multiply
    431,512x = 917,456 × 917,456
  4. Step 4: Simplify right side
    431,512x = 841,725,511,936
  5. Step 5: Solve for x
    x = 841,725,511,936/431,512
  6. Step 6: Final answer
    x = 1,950,642.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.