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Finding the Third Proportional to 173,538 and 351,905

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Solution

The third proportional to 173,538 and 351,905 is: 713,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,538 : 351,905 = 351,905 : x
  2. Step 2: Convert to fraction form
    173,538/351,905 = 351,905/x
  3. Step 3: Cross multiply
    173,538x = 351,905 × 351,905
  4. Step 4: Simplify right side
    173,538x = 123,837,129,025
  5. Step 5: Solve for x
    x = 123,837,129,025/173,538
  6. Step 6: Final answer
    x = 713,602.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.