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Finding the Third Proportional to 635,011.50 and 905,219.25

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Solution

The third proportional to 635,011.50 and 905,219.25 is: 1,290,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,011.50 : 905,219.25 = 905,219.25 : x
  2. Step 2: Convert to fraction form
    635,011.50/905,219.25 = 905,219.25/x
  3. Step 3: Cross multiply
    635,011.50x = 905,219.25 × 905,219.25
  4. Step 4: Simplify right side
    635,011.50x = 819,421,890,570.56
  5. Step 5: Solve for x
    x = 819,421,890,570.56/635,011.50
  6. Step 6: Final answer
    x = 1,290,404.80

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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.