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Finding the Third Proportional to 172,819 and 264,490

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Solution

The third proportional to 172,819 and 264,490 is: 404,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,819 : 264,490 = 264,490 : x
  2. Step 2: Convert to fraction form
    172,819/264,490 = 264,490/x
  3. Step 3: Cross multiply
    172,819x = 264,490 × 264,490
  4. Step 4: Simplify right side
    172,819x = 69,954,960,100
  5. Step 5: Solve for x
    x = 69,954,960,100/172,819
  6. Step 6: Final answer
    x = 404,787.44

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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.