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Finding the Third Proportional to 200,511 and 427,239

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Solution

The third proportional to 200,511 and 427,239 is: 910,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,511 : 427,239 = 427,239 : x
  2. Step 2: Convert to fraction form
    200,511/427,239 = 427,239/x
  3. Step 3: Cross multiply
    200,511x = 427,239 × 427,239
  4. Step 4: Simplify right side
    200,511x = 182,533,163,121
  5. Step 5: Solve for x
    x = 182,533,163,121/200,511
  6. Step 6: Final answer
    x = 910,339.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.