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Finding the Third Proportional to 420,159 and 635,240

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Solution

The third proportional to 420,159 and 635,240 is: 960,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,159 : 635,240 = 635,240 : x
  2. Step 2: Convert to fraction form
    420,159/635,240 = 635,240/x
  3. Step 3: Cross multiply
    420,159x = 635,240 × 635,240
  4. Step 4: Simplify right side
    420,159x = 403,529,857,600
  5. Step 5: Solve for x
    x = 403,529,857,600/420,159
  6. Step 6: Final answer
    x = 960,421.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.