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Finding the Third Proportional to 638,786 and 1,505,525

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Solution

The third proportional to 638,786 and 1,505,525 is: 3,548,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,786 : 1,505,525 = 1,505,525 : x
  2. Step 2: Convert to fraction form
    638,786/1,505,525 = 1,505,525/x
  3. Step 3: Cross multiply
    638,786x = 1,505,525 × 1,505,525
  4. Step 4: Simplify right side
    638,786x = 2,266,605,525,625
  5. Step 5: Solve for x
    x = 2,266,605,525,625/638,786
  6. Step 6: Final answer
    x = 3,548,301.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.