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Finding the Third Proportional to 201,323 and 438,072

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Solution

The third proportional to 201,323 and 438,072 is: 953,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,323 : 438,072 = 438,072 : x
  2. Step 2: Convert to fraction form
    201,323/438,072 = 438,072/x
  3. Step 3: Cross multiply
    201,323x = 438,072 × 438,072
  4. Step 4: Simplify right side
    201,323x = 191,907,077,184
  5. Step 5: Solve for x
    x = 191,907,077,184/201,323
  6. Step 6: Final answer
    x = 953,229.77

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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.