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Finding the Third Proportional to 122,569 and 171,858

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Solution

The third proportional to 122,569 and 171,858 is: 240,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,569 : 171,858 = 171,858 : x
  2. Step 2: Convert to fraction form
    122,569/171,858 = 171,858/x
  3. Step 3: Cross multiply
    122,569x = 171,858 × 171,858
  4. Step 4: Simplify right side
    122,569x = 29,535,172,164
  5. Step 5: Solve for x
    x = 29,535,172,164/122,569
  6. Step 6: Final answer
    x = 240,967.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.