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Finding the Third Proportional to 199.69 and 424.88

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Solution

The third proportional to 199.69 and 424.88 is: 904.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.69 : 424.88 = 424.88 : x
  2. Step 2: Convert to fraction form
    199.69/424.88 = 424.88/x
  3. Step 3: Cross multiply
    199.69x = 424.88 × 424.88
  4. Step 4: Simplify right side
    199.69x = 180,518.77
  5. Step 5: Solve for x
    x = 180,518.77/199.69
  6. Step 6: Final answer
    x = 904.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.