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Finding the Third Proportional to 122,912 and 183,584

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Solution

The third proportional to 122,912 and 183,584 is: 274,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,912 : 183,584 = 183,584 : x
  2. Step 2: Convert to fraction form
    122,912/183,584 = 183,584/x
  3. Step 3: Cross multiply
    122,912x = 183,584 × 183,584
  4. Step 4: Simplify right side
    122,912x = 33,703,085,056
  5. Step 5: Solve for x
    x = 33,703,085,056/122,912
  6. Step 6: Final answer
    x = 274,205.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.