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Finding the Third Proportional to 537.61 and 1,139.77

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Solution

The third proportional to 537.61 and 1,139.77 is: 2,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.61 : 1,139.77 = 1,139.77 : x
  2. Step 2: Convert to fraction form
    537.61/1,139.77 = 1,139.77/x
  3. Step 3: Cross multiply
    537.61x = 1,139.77 × 1,139.77
  4. Step 4: Simplify right side
    537.61x = 1,299,065.68
  5. Step 5: Solve for x
    x = 1,299,065.68/537.61
  6. Step 6: Final answer
    x = 2,416.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.