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Finding the Third Proportional to 172,627.50 and 385,431

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Solution

The third proportional to 172,627.50 and 385,431 is: 860,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,627.50 : 385,431 = 385,431 : x
  2. Step 2: Convert to fraction form
    172,627.50/385,431 = 385,431/x
  3. Step 3: Cross multiply
    172,627.50x = 385,431 × 385,431
  4. Step 4: Simplify right side
    172,627.50x = 148,557,055,761
  5. Step 5: Solve for x
    x = 148,557,055,761/172,627.50
  6. Step 6: Final answer
    x = 860,564.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.