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Finding the Third Proportional to 310.97 and 435.87

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Solution

The third proportional to 310.97 and 435.87 is: 610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.97 : 435.87 = 435.87 : x
  2. Step 2: Convert to fraction form
    310.97/435.87 = 435.87/x
  3. Step 3: Cross multiply
    310.97x = 435.87 × 435.87
  4. Step 4: Simplify right side
    310.97x = 189,980.21
  5. Step 5: Solve for x
    x = 189,980.21/310.97
  6. Step 6: Final answer
    x = 610.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.