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Finding the Third Proportional to 201,026 and 434,308

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Solution

The third proportional to 201,026 and 434,308 is: 938,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,026 : 434,308 = 434,308 : x
  2. Step 2: Convert to fraction form
    201,026/434,308 = 434,308/x
  3. Step 3: Cross multiply
    201,026x = 434,308 × 434,308
  4. Step 4: Simplify right side
    201,026x = 188,623,438,864
  5. Step 5: Solve for x
    x = 188,623,438,864/201,026
  6. Step 6: Final answer
    x = 938,303.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.