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Finding the Third Proportional to 102,379 and 157,838

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Solution

The third proportional to 102,379 and 157,838 is: 243,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,379 : 157,838 = 157,838 : x
  2. Step 2: Convert to fraction form
    102,379/157,838 = 157,838/x
  3. Step 3: Cross multiply
    102,379x = 157,838 × 157,838
  4. Step 4: Simplify right side
    102,379x = 24,912,834,244
  5. Step 5: Solve for x
    x = 24,912,834,244/102,379
  6. Step 6: Final answer
    x = 243,339.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.