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Finding the Third Proportional to 122,050 and 177,476

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Solution

The third proportional to 122,050 and 177,476 is: 258,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,050 : 177,476 = 177,476 : x
  2. Step 2: Convert to fraction form
    122,050/177,476 = 177,476/x
  3. Step 3: Cross multiply
    122,050x = 177,476 × 177,476
  4. Step 4: Simplify right side
    122,050x = 31,497,730,576
  5. Step 5: Solve for x
    x = 31,497,730,576/122,050
  6. Step 6: Final answer
    x = 258,072.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.