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Finding the Third Proportional to 103,768 and 202,352

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Solution

The third proportional to 103,768 and 202,352 is: 394,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,768 : 202,352 = 202,352 : x
  2. Step 2: Convert to fraction form
    103,768/202,352 = 202,352/x
  3. Step 3: Cross multiply
    103,768x = 202,352 × 202,352
  4. Step 4: Simplify right side
    103,768x = 40,946,331,904
  5. Step 5: Solve for x
    x = 40,946,331,904/103,768
  6. Step 6: Final answer
    x = 394,594.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.