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Finding the Third Proportional to 142,289 and 206,088

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Solution

The third proportional to 142,289 and 206,088 is: 298,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,289 : 206,088 = 206,088 : x
  2. Step 2: Convert to fraction form
    142,289/206,088 = 206,088/x
  3. Step 3: Cross multiply
    142,289x = 206,088 × 206,088
  4. Step 4: Simplify right side
    142,289x = 42,472,263,744
  5. Step 5: Solve for x
    x = 42,472,263,744/142,289
  6. Step 6: Final answer
    x = 298,492.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.