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Finding the Third Proportional to 172,915.50 and 264,621

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Solution

The third proportional to 172,915.50 and 264,621 is: 404,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,915.50 : 264,621 = 264,621 : x
  2. Step 2: Convert to fraction form
    172,915.50/264,621 = 264,621/x
  3. Step 3: Cross multiply
    172,915.50x = 264,621 × 264,621
  4. Step 4: Simplify right side
    172,915.50x = 70,024,273,641
  5. Step 5: Solve for x
    x = 70,024,273,641/172,915.50
  6. Step 6: Final answer
    x = 404,962.39

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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.