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Finding the Third Proportional to 448.59 and 642.19

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Solution

The third proportional to 448.59 and 642.19 is: 919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.59 : 642.19 = 642.19 : x
  2. Step 2: Convert to fraction form
    448.59/642.19 = 642.19/x
  3. Step 3: Cross multiply
    448.59x = 642.19 × 642.19
  4. Step 4: Simplify right side
    448.59x = 412,404.79
  5. Step 5: Solve for x
    x = 412,404.79/448.59
  6. Step 6: Final answer
    x = 919.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.