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Finding the Third Proportional to 315,424 and 681,392

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Solution

The third proportional to 315,424 and 681,392 is: 1,471,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,424 : 681,392 = 681,392 : x
  2. Step 2: Convert to fraction form
    315,424/681,392 = 681,392/x
  3. Step 3: Cross multiply
    315,424x = 681,392 × 681,392
  4. Step 4: Simplify right side
    315,424x = 464,295,057,664
  5. Step 5: Solve for x
    x = 464,295,057,664/315,424
  6. Step 6: Final answer
    x = 1,471,971.24

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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.