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Finding the Third Proportional to 859.99 and 1,972.71

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Solution

The third proportional to 859.99 and 1,972.71 is: 4,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.99 : 1,972.71 = 1,972.71 : x
  2. Step 2: Convert to fraction form
    859.99/1,972.71 = 1,972.71/x
  3. Step 3: Cross multiply
    859.99x = 1,972.71 × 1,972.71
  4. Step 4: Simplify right side
    859.99x = 3,891,600.00
  5. Step 5: Solve for x
    x = 3,891,600.00/859.99
  6. Step 6: Final answer
    x = 4,525.16

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.