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Finding the Third Proportional to 81,254 and 177,088

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Solution

The third proportional to 81,254 and 177,088 is: 385,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,254 : 177,088 = 177,088 : x
  2. Step 2: Convert to fraction form
    81,254/177,088 = 177,088/x
  3. Step 3: Cross multiply
    81,254x = 177,088 × 177,088
  4. Step 4: Simplify right side
    81,254x = 31,360,159,744
  5. Step 5: Solve for x
    x = 31,360,159,744/81,254
  6. Step 6: Final answer
    x = 385,952.20

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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.