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Finding the Third Proportional to 200,406 and 437,748

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Solution

The third proportional to 200,406 and 437,748 is: 956,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406 : 437,748 = 437,748 : x
  2. Step 2: Convert to fraction form
    200,406/437,748 = 437,748/x
  3. Step 3: Cross multiply
    200,406x = 437,748 × 437,748
  4. Step 4: Simplify right side
    200,406x = 191,623,311,504
  5. Step 5: Solve for x
    x = 191,623,311,504/200,406
  6. Step 6: Final answer
    x = 956,175.52

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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.