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Finding the Third Proportional to 172,984.50 and 375,489

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Solution

The third proportional to 172,984.50 and 375,489 is: 815,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,984.50 : 375,489 = 375,489 : x
  2. Step 2: Convert to fraction form
    172,984.50/375,489 = 375,489/x
  3. Step 3: Cross multiply
    172,984.50x = 375,489 × 375,489
  4. Step 4: Simplify right side
    172,984.50x = 140,991,989,121
  5. Step 5: Solve for x
    x = 140,991,989,121/172,984.50
  6. Step 6: Final answer
    x = 815,055.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.