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Finding the Third Proportional to 1,145.25 and 1,721.63

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Solution

The third proportional to 1,145.25 and 1,721.63 is: 2,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.25 : 1,721.63 = 1,721.63 : x
  2. Step 2: Convert to fraction form
    1,145.25/1,721.63 = 1,721.63/x
  3. Step 3: Cross multiply
    1,145.25x = 1,721.63 × 1,721.63
  4. Step 4: Simplify right side
    1,145.25x = 2,963,992.64
  5. Step 5: Solve for x
    x = 2,963,992.64/1,145.25
  6. Step 6: Final answer
    x = 2,588.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.