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Finding the Third Proportional to 200,877 and 437,636

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Solution

The third proportional to 200,877 and 437,636 is: 953,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,877 : 437,636 = 437,636 : x
  2. Step 2: Convert to fraction form
    200,877/437,636 = 437,636/x
  3. Step 3: Cross multiply
    200,877x = 437,636 × 437,636
  4. Step 4: Simplify right side
    200,877x = 191,525,268,496
  5. Step 5: Solve for x
    x = 191,525,268,496/200,877
  6. Step 6: Final answer
    x = 953,445.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.