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Finding the Third Proportional to 315,720 and 697,885

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Solution

The third proportional to 315,720 and 697,885 is: 1,542,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,720 : 697,885 = 697,885 : x
  2. Step 2: Convert to fraction form
    315,720/697,885 = 697,885/x
  3. Step 3: Cross multiply
    315,720x = 697,885 × 697,885
  4. Step 4: Simplify right side
    315,720x = 487,043,473,225
  5. Step 5: Solve for x
    x = 487,043,473,225/315,720
  6. Step 6: Final answer
    x = 1,542,643.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.