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Finding the Third Proportional to 354,308 and 755,918

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Solution

The third proportional to 354,308 and 755,918 is: 1,612,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,308 : 755,918 = 755,918 : x
  2. Step 2: Convert to fraction form
    354,308/755,918 = 755,918/x
  3. Step 3: Cross multiply
    354,308x = 755,918 × 755,918
  4. Step 4: Simplify right side
    354,308x = 571,412,022,724
  5. Step 5: Solve for x
    x = 571,412,022,724/354,308
  6. Step 6: Final answer
    x = 1,612,755.07

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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.