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Finding the Third Proportional to 172,830 and 266,615

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Solution

The third proportional to 172,830 and 266,615 is: 411,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,830 : 266,615 = 266,615 : x
  2. Step 2: Convert to fraction form
    172,830/266,615 = 266,615/x
  3. Step 3: Cross multiply
    172,830x = 266,615 × 266,615
  4. Step 4: Simplify right side
    172,830x = 71,083,558,225
  5. Step 5: Solve for x
    x = 71,083,558,225/172,830
  6. Step 6: Final answer
    x = 411,291.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.