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Finding the Third Proportional to 859.99 and 1,429.52

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Solution

The third proportional to 859.99 and 1,429.52 is: 2,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.99 : 1,429.52 = 1,429.52 : x
  2. Step 2: Convert to fraction form
    859.99/1,429.52 = 1,429.52/x
  3. Step 3: Cross multiply
    859.99x = 1,429.52 × 1,429.52
  4. Step 4: Simplify right side
    859.99x = 2,043,537.26
  5. Step 5: Solve for x
    x = 2,043,537.26/859.99
  6. Step 6: Final answer
    x = 2,376.23

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.