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Finding the Third Proportional to 200.16 and 424.08

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Solution

The third proportional to 200.16 and 424.08 is: 898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.16 : 424.08 = 424.08 : x
  2. Step 2: Convert to fraction form
    200.16/424.08 = 424.08/x
  3. Step 3: Cross multiply
    200.16x = 424.08 × 424.08
  4. Step 4: Simplify right side
    200.16x = 179,842.26
  5. Step 5: Solve for x
    x = 179,842.26/200.16
  6. Step 6: Final answer
    x = 898.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.