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Finding the Third Proportional to 102,930 and 159,520

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Solution

The third proportional to 102,930 and 159,520 is: 247,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,930 : 159,520 = 159,520 : x
  2. Step 2: Convert to fraction form
    102,930/159,520 = 159,520/x
  3. Step 3: Cross multiply
    102,930x = 159,520 × 159,520
  4. Step 4: Simplify right side
    102,930x = 25,446,630,400
  5. Step 5: Solve for x
    x = 25,446,630,400/102,930
  6. Step 6: Final answer
    x = 247,222.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.