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Finding the Third Proportional to 289,980 and 436,752

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Solution

The third proportional to 289,980 and 436,752 is: 657,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,980 : 436,752 = 436,752 : x
  2. Step 2: Convert to fraction form
    289,980/436,752 = 436,752/x
  3. Step 3: Cross multiply
    289,980x = 436,752 × 436,752
  4. Step 4: Simplify right side
    289,980x = 190,752,309,504
  5. Step 5: Solve for x
    x = 190,752,309,504/289,980
  6. Step 6: Final answer
    x = 657,811.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.