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Finding the Third Proportional to 145,612 and 206,267

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Solution

The third proportional to 145,612 and 206,267 is: 292,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,612 : 206,267 = 206,267 : x
  2. Step 2: Convert to fraction form
    145,612/206,267 = 206,267/x
  3. Step 3: Cross multiply
    145,612x = 206,267 × 206,267
  4. Step 4: Simplify right side
    145,612x = 42,546,075,289
  5. Step 5: Solve for x
    x = 42,546,075,289/145,612
  6. Step 6: Final answer
    x = 292,187.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.