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Finding the Third Proportional to 242.16 and 320.20

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Solution

The third proportional to 242.16 and 320.20 is: 423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.16 : 320.20 = 320.20 : x
  2. Step 2: Convert to fraction form
    242.16/320.20 = 320.20/x
  3. Step 3: Cross multiply
    242.16x = 320.20 × 320.20
  4. Step 4: Simplify right side
    242.16x = 102,530.04
  5. Step 5: Solve for x
    x = 102,530.04/242.16
  6. Step 6: Final answer
    x = 423.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.