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Finding the Third Proportional to 142,302 and 206,103

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Solution

The third proportional to 142,302 and 206,103 is: 298,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,302 : 206,103 = 206,103 : x
  2. Step 2: Convert to fraction form
    142,302/206,103 = 206,103/x
  3. Step 3: Cross multiply
    142,302x = 206,103 × 206,103
  4. Step 4: Simplify right side
    142,302x = 42,478,446,609
  5. Step 5: Solve for x
    x = 42,478,446,609/142,302
  6. Step 6: Final answer
    x = 298,509.13

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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.