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Finding the Third Proportional to 172,623 and 264,972

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Solution

The third proportional to 172,623 and 264,972 is: 406,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,623 : 264,972 = 264,972 : x
  2. Step 2: Convert to fraction form
    172,623/264,972 = 264,972/x
  3. Step 3: Cross multiply
    172,623x = 264,972 × 264,972
  4. Step 4: Simplify right side
    172,623x = 70,210,160,784
  5. Step 5: Solve for x
    x = 70,210,160,784/172,623
  6. Step 6: Final answer
    x = 406,725.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.