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Finding the Third Proportional to 538,421 and 844,743

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Solution

The third proportional to 538,421 and 844,743 is: 1,325,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,421 : 844,743 = 844,743 : x
  2. Step 2: Convert to fraction form
    538,421/844,743 = 844,743/x
  3. Step 3: Cross multiply
    538,421x = 844,743 × 844,743
  4. Step 4: Simplify right side
    538,421x = 713,590,736,049
  5. Step 5: Solve for x
    x = 713,590,736,049/538,421
  6. Step 6: Final answer
    x = 1,325,339.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.