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Finding the Third Proportional to 355,189 and 760,760

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Solution

The third proportional to 355,189 and 760,760 is: 1,629,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,189 : 760,760 = 760,760 : x
  2. Step 2: Convert to fraction form
    355,189/760,760 = 760,760/x
  3. Step 3: Cross multiply
    355,189x = 760,760 × 760,760
  4. Step 4: Simplify right side
    355,189x = 578,755,777,600
  5. Step 5: Solve for x
    x = 578,755,777,600/355,189
  6. Step 6: Final answer
    x = 1,629,430.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.