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Finding the Third Proportional to 202.19 and 292.06

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Solution

The third proportional to 202.19 and 292.06 is: 421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.19 : 292.06 = 292.06 : x
  2. Step 2: Convert to fraction form
    202.19/292.06 = 292.06/x
  3. Step 3: Cross multiply
    202.19x = 292.06 × 292.06
  4. Step 4: Simplify right side
    202.19x = 85,300.50
  5. Step 5: Solve for x
    x = 85,300.50/202.19
  6. Step 6: Final answer
    x = 421.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.