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Finding the Third Proportional to 538.21 and 807.31

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Solution

The third proportional to 538.21 and 807.31 is: 1,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.21 : 807.31 = 807.31 : x
  2. Step 2: Convert to fraction form
    538.21/807.31 = 807.31/x
  3. Step 3: Cross multiply
    538.21x = 807.31 × 807.31
  4. Step 4: Simplify right side
    538.21x = 651,750.32
  5. Step 5: Solve for x
    x = 651,750.32/538.21
  6. Step 6: Final answer
    x = 1,210.97

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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.