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Finding the Third Proportional to 162,520 and 342,780

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Solution

The third proportional to 162,520 and 342,780 is: 722,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,520 : 342,780 = 342,780 : x
  2. Step 2: Convert to fraction form
    162,520/342,780 = 342,780/x
  3. Step 3: Cross multiply
    162,520x = 342,780 × 342,780
  4. Step 4: Simplify right side
    162,520x = 117,498,128,400
  5. Step 5: Solve for x
    x = 117,498,128,400/162,520
  6. Step 6: Final answer
    x = 722,976.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.