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Finding the Third Proportional to 76,472 and 177,798

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Solution

The third proportional to 76,472 and 177,798 is: 413,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,472 : 177,798 = 177,798 : x
  2. Step 2: Convert to fraction form
    76,472/177,798 = 177,798/x
  3. Step 3: Cross multiply
    76,472x = 177,798 × 177,798
  4. Step 4: Simplify right side
    76,472x = 31,612,128,804
  5. Step 5: Solve for x
    x = 31,612,128,804/76,472
  6. Step 6: Final answer
    x = 413,381.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.