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Finding the Third Proportional to 73,813 and 172,413

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Solution

The third proportional to 73,813 and 172,413 is: 402,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,813 : 172,413 = 172,413 : x
  2. Step 2: Convert to fraction form
    73,813/172,413 = 172,413/x
  3. Step 3: Cross multiply
    73,813x = 172,413 × 172,413
  4. Step 4: Simplify right side
    73,813x = 29,726,242,569
  5. Step 5: Solve for x
    x = 29,726,242,569/73,813
  6. Step 6: Final answer
    x = 402,723.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.