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Finding the Third Proportional to 206,666 and 292,513

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Solution

The third proportional to 206,666 and 292,513 is: 414,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,666 : 292,513 = 292,513 : x
  2. Step 2: Convert to fraction form
    206,666/292,513 = 292,513/x
  3. Step 3: Cross multiply
    206,666x = 292,513 × 292,513
  4. Step 4: Simplify right side
    206,666x = 85,563,855,169
  5. Step 5: Solve for x
    x = 85,563,855,169/206,666
  6. Step 6: Final answer
    x = 414,019.99

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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.