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Finding the Third Proportional to 73,172 and 172,556

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Solution

The third proportional to 73,172 and 172,556 is: 406,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,172 : 172,556 = 172,556 : x
  2. Step 2: Convert to fraction form
    73,172/172,556 = 172,556/x
  3. Step 3: Cross multiply
    73,172x = 172,556 × 172,556
  4. Step 4: Simplify right side
    73,172x = 29,775,573,136
  5. Step 5: Solve for x
    x = 29,775,573,136/73,172
  6. Step 6: Final answer
    x = 406,925.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.