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Finding the Third Proportional to 201,321 and 438,068

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Solution

The third proportional to 201,321 and 438,068 is: 953,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,321 : 438,068 = 438,068 : x
  2. Step 2: Convert to fraction form
    201,321/438,068 = 438,068/x
  3. Step 3: Cross multiply
    201,321x = 438,068 × 438,068
  4. Step 4: Simplify right side
    201,321x = 191,903,572,624
  5. Step 5: Solve for x
    x = 191,903,572,624/201,321
  6. Step 6: Final answer
    x = 953,221.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.