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Finding the Third Proportional to 382,968 and 842,040

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Solution

The third proportional to 382,968 and 842,040 is: 1,851,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,968 : 842,040 = 842,040 : x
  2. Step 2: Convert to fraction form
    382,968/842,040 = 842,040/x
  3. Step 3: Cross multiply
    382,968x = 842,040 × 842,040
  4. Step 4: Simplify right side
    382,968x = 709,031,361,600
  5. Step 5: Solve for x
    x = 709,031,361,600/382,968
  6. Step 6: Final answer
    x = 1,851,411.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.