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Finding the Third Proportional to 315,420 and 681,384

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Solution

The third proportional to 315,420 and 681,384 is: 1,471,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,420 : 681,384 = 681,384 : x
  2. Step 2: Convert to fraction form
    315,420/681,384 = 681,384/x
  3. Step 3: Cross multiply
    315,420x = 681,384 × 681,384
  4. Step 4: Simplify right side
    315,420x = 464,284,155,456
  5. Step 5: Solve for x
    x = 464,284,155,456/315,420
  6. Step 6: Final answer
    x = 1,471,955.35

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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.