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Finding the Third Proportional to 420,158.50 and 635,239.50

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Solution

The third proportional to 420,158.50 and 635,239.50 is: 960,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,158.50 : 635,239.50 = 635,239.50 : x
  2. Step 2: Convert to fraction form
    420,158.50/635,239.50 = 635,239.50/x
  3. Step 3: Cross multiply
    420,158.50x = 635,239.50 × 635,239.50
  4. Step 4: Simplify right side
    420,158.50x = 403,529,222,360.25
  5. Step 5: Solve for x
    x = 403,529,222,360.25/420,158.50
  6. Step 6: Final answer
    x = 960,421.42

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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.