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Finding the Third Proportional to 81,140 and 174,763

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Solution

The third proportional to 81,140 and 174,763 is: 376,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,140 : 174,763 = 174,763 : x
  2. Step 2: Convert to fraction form
    81,140/174,763 = 174,763/x
  3. Step 3: Cross multiply
    81,140x = 174,763 × 174,763
  4. Step 4: Simplify right side
    81,140x = 30,542,106,169
  5. Step 5: Solve for x
    x = 30,542,106,169/81,140
  6. Step 6: Final answer
    x = 376,412.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.