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Finding the Third Proportional to 302.17 and 612.67

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Solution

The third proportional to 302.17 and 612.67 is: 1,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.17 : 612.67 = 612.67 : x
  2. Step 2: Convert to fraction form
    302.17/612.67 = 612.67/x
  3. Step 3: Cross multiply
    302.17x = 612.67 × 612.67
  4. Step 4: Simplify right side
    302.17x = 375,362.04
  5. Step 5: Solve for x
    x = 375,362.04/302.17
  6. Step 6: Final answer
    x = 1,242.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.