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Finding the Third Proportional to 354,276 and 770,760

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Solution

The third proportional to 354,276 and 770,760 is: 1,676,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,276 : 770,760 = 770,760 : x
  2. Step 2: Convert to fraction form
    354,276/770,760 = 770,760/x
  3. Step 3: Cross multiply
    354,276x = 770,760 × 770,760
  4. Step 4: Simplify right side
    354,276x = 594,070,977,600
  5. Step 5: Solve for x
    x = 594,070,977,600/354,276
  6. Step 6: Final answer
    x = 1,676,859.22

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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.