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Finding the Third Proportional to 539.05 and 1,159.09

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Solution

The third proportional to 539.05 and 1,159.09 is: 2,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.05 : 1,159.09 = 1,159.09 : x
  2. Step 2: Convert to fraction form
    539.05/1,159.09 = 1,159.09/x
  3. Step 3: Cross multiply
    539.05x = 1,159.09 × 1,159.09
  4. Step 4: Simplify right side
    539.05x = 1,343,498.32
  5. Step 5: Solve for x
    x = 1,343,498.32/539.05
  6. Step 6: Final answer
    x = 2,492.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.