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Finding the Third Proportional to 201,140 and 435,672

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Solution

The third proportional to 201,140 and 435,672 is: 943,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,140 : 435,672 = 435,672 : x
  2. Step 2: Convert to fraction form
    201,140/435,672 = 435,672/x
  3. Step 3: Cross multiply
    201,140x = 435,672 × 435,672
  4. Step 4: Simplify right side
    201,140x = 189,810,091,584
  5. Step 5: Solve for x
    x = 189,810,091,584/201,140
  6. Step 6: Final answer
    x = 943,671.53

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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.