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Finding the Third Proportional to 310.55 and 435.23

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Solution

The third proportional to 310.55 and 435.23 is: 609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.55 : 435.23 = 435.23 : x
  2. Step 2: Convert to fraction form
    310.55/435.23 = 435.23/x
  3. Step 3: Cross multiply
    310.55x = 435.23 × 435.23
  4. Step 4: Simplify right side
    310.55x = 189,428.96
  5. Step 5: Solve for x
    x = 189,428.96/310.55
  6. Step 6: Final answer
    x = 609.99

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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.