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Finding the Third Proportional to 502.31 and 810.84

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Solution

The third proportional to 502.31 and 810.84 is: 1,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.31 : 810.84 = 810.84 : x
  2. Step 2: Convert to fraction form
    502.31/810.84 = 810.84/x
  3. Step 3: Cross multiply
    502.31x = 810.84 × 810.84
  4. Step 4: Simplify right side
    502.31x = 657,467.59
  5. Step 5: Solve for x
    x = 657,467.59/502.31
  6. Step 6: Final answer
    x = 1,308.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.