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Finding the Third Proportional to 393,746 and 856,420

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Solution

The third proportional to 393,746 and 856,420 is: 1,862,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,746 : 856,420 = 856,420 : x
  2. Step 2: Convert to fraction form
    393,746/856,420 = 856,420/x
  3. Step 3: Cross multiply
    393,746x = 856,420 × 856,420
  4. Step 4: Simplify right side
    393,746x = 733,455,216,400
  5. Step 5: Solve for x
    x = 733,455,216,400/393,746
  6. Step 6: Final answer
    x = 1,862,762.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.