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Finding the Third Proportional to 215,406 and 357,759

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Solution

The third proportional to 215,406 and 357,759 is: 594,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,406 : 357,759 = 357,759 : x
  2. Step 2: Convert to fraction form
    215,406/357,759 = 357,759/x
  3. Step 3: Cross multiply
    215,406x = 357,759 × 357,759
  4. Step 4: Simplify right side
    215,406x = 127,991,502,081
  5. Step 5: Solve for x
    x = 127,991,502,081/215,406
  6. Step 6: Final answer
    x = 594,187.27

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.