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Finding the Third Proportional to 200,646 and 435,852

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Solution

The third proportional to 200,646 and 435,852 is: 946,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,646 : 435,852 = 435,852 : x
  2. Step 2: Convert to fraction form
    200,646/435,852 = 435,852/x
  3. Step 3: Cross multiply
    200,646x = 435,852 × 435,852
  4. Step 4: Simplify right side
    200,646x = 189,966,965,904
  5. Step 5: Solve for x
    x = 189,966,965,904/200,646
  6. Step 6: Final answer
    x = 946,776.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.