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Finding the Third Proportional to 206,476 and 290,754

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Solution

The third proportional to 206,476 and 290,754 is: 409,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,476 : 290,754 = 290,754 : x
  2. Step 2: Convert to fraction form
    206,476/290,754 = 290,754/x
  3. Step 3: Cross multiply
    206,476x = 290,754 × 290,754
  4. Step 4: Simplify right side
    206,476x = 84,537,888,516
  5. Step 5: Solve for x
    x = 84,537,888,516/206,476
  6. Step 6: Final answer
    x = 409,432.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.