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Finding the Third Proportional to 142,278 and 206,073

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Solution

The third proportional to 142,278 and 206,073 is: 298,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,278 : 206,073 = 206,073 : x
  2. Step 2: Convert to fraction form
    142,278/206,073 = 206,073/x
  3. Step 3: Cross multiply
    142,278x = 206,073 × 206,073
  4. Step 4: Simplify right side
    142,278x = 42,466,081,329
  5. Step 5: Solve for x
    x = 42,466,081,329/142,278
  6. Step 6: Final answer
    x = 298,472.58

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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.