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Finding the Third Proportional to 357,168 and 785,760

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Solution

The third proportional to 357,168 and 785,760 is: 1,728,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,168 : 785,760 = 785,760 : x
  2. Step 2: Convert to fraction form
    357,168/785,760 = 785,760/x
  3. Step 3: Cross multiply
    357,168x = 785,760 × 785,760
  4. Step 4: Simplify right side
    357,168x = 617,418,777,600
  5. Step 5: Solve for x
    x = 617,418,777,600/357,168
  6. Step 6: Final answer
    x = 1,728,650.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.