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Finding the Third Proportional to 121,858 and 177,602

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Solution

The third proportional to 121,858 and 177,602 is: 258,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,858 : 177,602 = 177,602 : x
  2. Step 2: Convert to fraction form
    121,858/177,602 = 177,602/x
  3. Step 3: Cross multiply
    121,858x = 177,602 × 177,602
  4. Step 4: Simplify right side
    121,858x = 31,542,470,404
  5. Step 5: Solve for x
    x = 31,542,470,404/121,858
  6. Step 6: Final answer
    x = 258,846.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.