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Finding the Third Proportional to 388,092 and 837,420

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Solution

The third proportional to 388,092 and 837,420 is: 1,806,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,092 : 837,420 = 837,420 : x
  2. Step 2: Convert to fraction form
    388,092/837,420 = 837,420/x
  3. Step 3: Cross multiply
    388,092x = 837,420 × 837,420
  4. Step 4: Simplify right side
    388,092x = 701,272,256,400
  5. Step 5: Solve for x
    x = 701,272,256,400/388,092
  6. Step 6: Final answer
    x = 1,806,974.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.