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Finding the Third Proportional to 635,013.75 and 905,220.75

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Solution

The third proportional to 635,013.75 and 905,220.75 is: 1,290,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,013.75 : 905,220.75 = 905,220.75 : x
  2. Step 2: Convert to fraction form
    635,013.75/905,220.75 = 905,220.75/x
  3. Step 3: Cross multiply
    635,013.75x = 905,220.75 × 905,220.75
  4. Step 4: Simplify right side
    635,013.75x = 819,424,606,230.56
  5. Step 5: Solve for x
    x = 819,424,606,230.56/635,013.75
  6. Step 6: Final answer
    x = 1,290,404.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.