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Finding the Third Proportional to 172,329 and 264,813

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Solution

The third proportional to 172,329 and 264,813 is: 406,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,329 : 264,813 = 264,813 : x
  2. Step 2: Convert to fraction form
    172,329/264,813 = 264,813/x
  3. Step 3: Cross multiply
    172,329x = 264,813 × 264,813
  4. Step 4: Simplify right side
    172,329x = 70,125,924,969
  5. Step 5: Solve for x
    x = 70,125,924,969/172,329
  6. Step 6: Final answer
    x = 406,930.49

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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.