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Finding the Third Proportional to 275,220 and 437,886

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Solution

The third proportional to 275,220 and 437,886 is: 696,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,220 : 437,886 = 437,886 : x
  2. Step 2: Convert to fraction form
    275,220/437,886 = 437,886/x
  3. Step 3: Cross multiply
    275,220x = 437,886 × 437,886
  4. Step 4: Simplify right side
    275,220x = 191,744,148,996
  5. Step 5: Solve for x
    x = 191,744,148,996/275,220
  6. Step 6: Final answer
    x = 696,694.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.