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Finding the Third Proportional to 420,156.56 and 635,237.44

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Solution

The third proportional to 420,156.56 and 635,237.44 is: 960,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,156.56 : 635,237.44 = 635,237.44 : x
  2. Step 2: Convert to fraction form
    420,156.56/635,237.44 = 635,237.44/x
  3. Step 3: Cross multiply
    420,156.56x = 635,237.44 × 635,237.44
  4. Step 4: Simplify right side
    420,156.56x = 403,526,602,001.57
  5. Step 5: Solve for x
    x = 403,526,602,001.57/420,156.56
  6. Step 6: Final answer
    x = 960,419.61

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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.