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Finding the Third Proportional to 819,012 and 1,239,975

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Solution

The third proportional to 819,012 and 1,239,975 is: 1,877,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,012 : 1,239,975 = 1,239,975 : x
  2. Step 2: Convert to fraction form
    819,012/1,239,975 = 1,239,975/x
  3. Step 3: Cross multiply
    819,012x = 1,239,975 × 1,239,975
  4. Step 4: Simplify right side
    819,012x = 1,537,538,000,625
  5. Step 5: Solve for x
    x = 1,537,538,000,625/819,012
  6. Step 6: Final answer
    x = 1,877,308.27

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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.