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Finding the Third Proportional to 172,978.03 and 371,824.17

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Solution

The third proportional to 172,978.03 and 371,824.17 is: 799,253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,978.03 : 371,824.17 = 371,824.17 : x
  2. Step 2: Convert to fraction form
    172,978.03/371,824.17 = 371,824.17/x
  3. Step 3: Cross multiply
    172,978.03x = 371,824.17 × 371,824.17
  4. Step 4: Simplify right side
    172,978.03x = 138,253,214,790.53
  5. Step 5: Solve for x
    x = 138,253,214,790.53/172,978.03
  6. Step 6: Final answer
    x = 799,253.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.