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Finding the Third Proportional to 139,752 and 197,552

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Solution

The third proportional to 139,752 and 197,552 is: 279,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,752 : 197,552 = 197,552 : x
  2. Step 2: Convert to fraction form
    139,752/197,552 = 197,552/x
  3. Step 3: Cross multiply
    139,752x = 197,552 × 197,552
  4. Step 4: Simplify right side
    139,752x = 39,026,792,704
  5. Step 5: Solve for x
    x = 39,026,792,704/139,752
  6. Step 6: Final answer
    x = 279,257.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.