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Finding the Third Proportional to 173,390 and 378,532

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Solution

The third proportional to 173,390 and 378,532 is: 826,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,390 : 378,532 = 378,532 : x
  2. Step 2: Convert to fraction form
    173,390/378,532 = 378,532/x
  3. Step 3: Cross multiply
    173,390x = 378,532 × 378,532
  4. Step 4: Simplify right side
    173,390x = 143,286,475,024
  5. Step 5: Solve for x
    x = 143,286,475,024/173,390
  6. Step 6: Final answer
    x = 826,382.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.