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Finding the Third Proportional to 201,740 and 434,272

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Solution

The third proportional to 201,740 and 434,272 is: 934,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,740 : 434,272 = 434,272 : x
  2. Step 2: Convert to fraction form
    201,740/434,272 = 434,272/x
  3. Step 3: Cross multiply
    201,740x = 434,272 × 434,272
  4. Step 4: Simplify right side
    201,740x = 188,592,169,984
  5. Step 5: Solve for x
    x = 188,592,169,984/201,740
  6. Step 6: Final answer
    x = 934,827.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.