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Finding the Third Proportional to 265.10 and 537.31

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Solution

The third proportional to 265.10 and 537.31 is: 1,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.10 : 537.31 = 537.31 : x
  2. Step 2: Convert to fraction form
    265.10/537.31 = 537.31/x
  3. Step 3: Cross multiply
    265.10x = 537.31 × 537.31
  4. Step 4: Simplify right side
    265.10x = 288,702.62
  5. Step 5: Solve for x
    x = 288,702.62/265.10
  6. Step 6: Final answer
    x = 1,089.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.