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Finding the Third Proportional to 310.56 and 487.94

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Solution

The third proportional to 310.56 and 487.94 is: 766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 487.94 = 487.94 : x
  2. Step 2: Convert to fraction form
    310.56/487.94 = 487.94/x
  3. Step 3: Cross multiply
    310.56x = 487.94 × 487.94
  4. Step 4: Simplify right side
    310.56x = 238,083.00
  5. Step 5: Solve for x
    x = 238,083.00/310.56
  6. Step 6: Final answer
    x = 766.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.