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Finding the Third Proportional to 200,682 and 437,350.50

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Solution

The third proportional to 200,682 and 437,350.50 is: 953,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,682 : 437,350.50 = 437,350.50 : x
  2. Step 2: Convert to fraction form
    200,682/437,350.50 = 437,350.50/x
  3. Step 3: Cross multiply
    200,682x = 437,350.50 × 437,350.50
  4. Step 4: Simplify right side
    200,682x = 191,275,459,850.25
  5. Step 5: Solve for x
    x = 191,275,459,850.25/200,682
  6. Step 6: Final answer
    x = 953,127.14

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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.