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Finding the Third Proportional to 172,852 and 266,656

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Solution

The third proportional to 172,852 and 266,656 is: 411,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,852 : 266,656 = 266,656 : x
  2. Step 2: Convert to fraction form
    172,852/266,656 = 266,656/x
  3. Step 3: Cross multiply
    172,852x = 266,656 × 266,656
  4. Step 4: Simplify right side
    172,852x = 71,105,422,336
  5. Step 5: Solve for x
    x = 71,105,422,336/172,852
  6. Step 6: Final answer
    x = 411,365.92

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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.