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Finding the Third Proportional to 172,621 and 264,947

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Solution

The third proportional to 172,621 and 264,947 is: 406,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,621 : 264,947 = 264,947 : x
  2. Step 2: Convert to fraction form
    172,621/264,947 = 264,947/x
  3. Step 3: Cross multiply
    172,621x = 264,947 × 264,947
  4. Step 4: Simplify right side
    172,621x = 70,196,912,809
  5. Step 5: Solve for x
    x = 70,196,912,809/172,621
  6. Step 6: Final answer
    x = 406,653.38

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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.