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Finding the Third Proportional to 151,428 and 327,938

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Solution

The third proportional to 151,428 and 327,938 is: 710,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,428 : 327,938 = 327,938 : x
  2. Step 2: Convert to fraction form
    151,428/327,938 = 327,938/x
  3. Step 3: Cross multiply
    151,428x = 327,938 × 327,938
  4. Step 4: Simplify right side
    151,428x = 107,543,331,844
  5. Step 5: Solve for x
    x = 107,543,331,844/151,428
  6. Step 6: Final answer
    x = 710,194.49

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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.