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Finding the Third Proportional to 263.50 and 615.63

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Solution

The third proportional to 263.50 and 615.63 is: 1,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.50 : 615.63 = 615.63 : x
  2. Step 2: Convert to fraction form
    263.50/615.63 = 615.63/x
  3. Step 3: Cross multiply
    263.50x = 615.63 × 615.63
  4. Step 4: Simplify right side
    263.50x = 378,994.14
  5. Step 5: Solve for x
    x = 378,994.14/263.50
  6. Step 6: Final answer
    x = 1,438.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.