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Finding the Third Proportional to 201,356 and 434,237

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Solution

The third proportional to 201,356 and 434,237 is: 936,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,356 : 434,237 = 434,237 : x
  2. Step 2: Convert to fraction form
    201,356/434,237 = 434,237/x
  3. Step 3: Cross multiply
    201,356x = 434,237 × 434,237
  4. Step 4: Simplify right side
    201,356x = 188,561,772,169
  5. Step 5: Solve for x
    x = 188,561,772,169/201,356
  6. Step 6: Final answer
    x = 936,459.66

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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.