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Finding the Third Proportional to 420,157 and 635,238.25

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Solution

The third proportional to 420,157 and 635,238.25 is: 960,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,157 : 635,238.25 = 635,238.25 : x
  2. Step 2: Convert to fraction form
    420,157/635,238.25 = 635,238.25/x
  3. Step 3: Cross multiply
    420,157x = 635,238.25 × 635,238.25
  4. Step 4: Simplify right side
    420,157x = 403,527,634,263.06
  5. Step 5: Solve for x
    x = 403,527,634,263.06/420,157
  6. Step 6: Final answer
    x = 960,421.07

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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.