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Finding the Third Proportional to 315,717.75 and 697,880.81

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Solution

The third proportional to 315,717.75 and 697,880.81 is: 1,542,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,717.75 : 697,880.81 = 697,880.81 : x
  2. Step 2: Convert to fraction form
    315,717.75/697,880.81 = 697,880.81/x
  3. Step 3: Cross multiply
    315,717.75x = 697,880.81 × 697,880.81
  4. Step 4: Simplify right side
    315,717.75x = 487,037,628,455.66
  5. Step 5: Solve for x
    x = 487,037,628,455.66/315,717.75
  6. Step 6: Final answer
    x = 1,542,636.19

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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.