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Finding the Third Proportional to 82,454 and 177,938

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Solution

The third proportional to 82,454 and 177,938 is: 383,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,454 : 177,938 = 177,938 : x
  2. Step 2: Convert to fraction form
    82,454/177,938 = 177,938/x
  3. Step 3: Cross multiply
    82,454x = 177,938 × 177,938
  4. Step 4: Simplify right side
    82,454x = 31,661,931,844
  5. Step 5: Solve for x
    x = 31,661,931,844/82,454
  6. Step 6: Final answer
    x = 383,995.10

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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.