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Finding the Third Proportional to 315.49 and 499.08

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Solution

The third proportional to 315.49 and 499.08 is: 789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.49 : 499.08 = 499.08 : x
  2. Step 2: Convert to fraction form
    315.49/499.08 = 499.08/x
  3. Step 3: Cross multiply
    315.49x = 499.08 × 499.08
  4. Step 4: Simplify right side
    315.49x = 249,078.97
  5. Step 5: Solve for x
    x = 249,078.97/315.49
  6. Step 6: Final answer
    x = 789.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.